# A basket holds no more than 50 lbs of the material. Each gold coin weighs about 0.5 ounces and...

## Question:

A basket holds no more than 50 lbs of the material. Each gold coin weighs about 0.5 ounces and each silver coin weighs about 0.25 ounces. Irah wants to know the different numbers of each type of coin that could be in the basket. Write an inequality that models the weight in the basket.

## Words and Variables:

When coming up with algebraic expressions from a series of words, it helps to assign some type of unknown variable instead of writing out the full name itself. For example, if we are told that the number of cows and sheep on a farm cannot exceed twenty, rather than writing {eq}cows + sheep \leq 20 {/eq}, we could write {eq}c + s \leq 20 {/eq}.

## Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

View this answerSee full answer below.

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Learn more about this topic:

from

Chapter 8 / Lesson 17This lessons focuses on showing guidelines to translate words into mathematical symbols. It shows examples and common aspects of the transformation of algebra word problems into equations and expressions.

#### Related to this Question

- A basket of with 12 apples has a mass of 3105 grams. The same basket with 7 apples has a mass of 1980 grams. Each apple has the same mass. What is the mass of the basket?
- A jar contains $34.75 in quarters and dollar coins. If the number of quarters is 3 more than 4 times the number of dollars, determine the number of each type of coin.
- A bag holds 315 coins worth $16.15. There are pennies, nickels, and dimes in the bag, and the same number of nickels and dimes. How many of each type of coin was in the bag?
- If the value of 10 ounces of gold is d dollars and an ounce of gold is equivalent to s ounces of silver, what is the value, in dollars, of 3 ounces of silver?
- A bag contains only nickels and dimes. There are exactly 18 coins in the bag. The amount of money in the bag is $1.25. Let x represent the number of nickels in the bag. Let y represent the number of dimes in the bag. 1. Write a system of equations that c
- On one side of a scale there are 6 coins, 3 weighing 2 grams each and 3 weighing x grams each. The scale is balanced if 5 coins weighing x grams each are placed on the other side of the scale. How muc
- A coin bank containing only nickels, dimes, and quarters has twice as many nickels as dimes and one-third (1/3) as many quarters as nickels. The total value of the cions does not exceed 2.80. Find the number of each type of coin in the bank?
- A box contains two different types of candy, weighs 10 pounds, and costs $14.55. One type of candy costs $1.50 a pound. The other costs $1.35 a pound. How many pounds of each kind are there?
- The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes to the collection. Is the ratio of quarters to dimes still 5:3? If so, illustrate your answ
- Thomas collects dimes and quarters in his change jar. If he has 10 more dimes than quarters, and the total amount of money in the jar is $34.25, find the number of each type of coin in the jar.
- A purse contains change with an equal number of pennies, nickels, and dimes. The total value of the coins is 544 cents. How many coins of each type does the purse contain?
- A piggy bank contains the same number of nickels, dimes and quarters. If the coins total $3.20, then how many of each type of coin does the piggy bank contain?
- The piggy bank contains the same number of nickels, dimes and quarters. If the coins total $3.20, then how many of each type of coin does the piggy bank contain?
- Alycia's piggy bank has dimes and quarters in it. The numbers of dimes is 4 less than 3 times the number of quarters. If the total value of the coins is $7.85, how many dimes are in the piggy bank?
- She has 6 more pennies than triple the number o nickels. she has 5 more nickels than quarters and 3 less dimes than quarters. she has 65 total coins. how many of each coin does she have?
- A box had twice as many grapes as a basket. After 2 kilograms were added to the basket it contains 0.5 kilograms more than the box. How many kilograms of grapes did the basket contain?
- A jeweler has five rings, each weighing 18 grams, made of alloy of 10 \% silver and 90 \% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 50 \%. How much silver should he add?
- Kevin has $6.45 in coins in his cash box. The numbers of quarters is one less than twice the number of dimes. The number of nickels is one less than twice the number of quarters. The value of the penn
- A man has 80 cents in his pocket in nickels, dimes, and quarters. he has the same number of each type of coin. what is the total number of coins that he has in his wallet?
- Sue has two more Nickels than Dimes and three more quarters than Nickels. She has $3.35 in all. How many coins of each kind does she have?
- A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is $2.08. How many coins of each type do the purse contain? pennies nickels dimes
- A purse contains 26 coins, some of which are dimes and the rest are nickels. Altogether, the coins are worth more than $2.10. At least how many dimes are in the purse?
- There are 34 coins in your friend's piggy bank made up of nickels, dimes, and quarters. The total value of the coins in the bank is $3. If the number of nickels is 6 more than the number of dimes and the number of quarters put together, how many coins of
- A coin purse contains an equal number of nickels, dimes, and quarters. The total amount of money in the purse is 680 cents. How many quarters are in the coin purse?
- 1. The ratio of nickels to dimes to quarters in 3: 8: 1. If all the coins were dimes, the amount of money would be the same. Show that there are infinitely many solutions to this problem. 2. A grocer
- Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?
- A box contains $7.80 in nickels, dimes, and quarters. There are 46 coins in all, and the sum of the numbers of nickels and dimes is 2 less than the number of quarters. How many coins of each kind are
- A jeweler has five rings, each weighing 18g, made of 5% silver and 95% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should he add?
- The weight of a bag of golf balls varies directly as the number of golf balls in the bag. If a bag of 69 golf balls weighs 2,553 grams, how many golf balls are in a bag that weighs 1,110 grams?
- A coin purse contains an equal number of nickels, dimes and quarters. The total of money in the purse is 4.80. How many quarters are in the coin purse?
- There are 7 coins in a piggy bank. The coins are all quarters and dimes. Altogether, the total amount of money in the bank is $1.15. How many of each coin are in the piggy bank?
- I have 9.45 dollars in quarters and dimes in my pocket. The number of dimes is 18 less than twice the number of quarters. How many of each coin are there?
- Penny collected some change in preparation for a garage sale. She collected two more nickels than twice the number of dimes and eight fewer quarters than twice the number of nickels. If the value of the quarters was $1.60 greater than four times the value
- Mary has $4 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and 25 more nickels than dimes, how many coins of each type does she have?
- Mary has $4.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and fourteen more nickels than dimes, how many coins of each type does she have?
- Mary has $4.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and 47 more nickels than dimes, how many coins of each type does she have?
- A jar contains only pennies, nickels, and dimes. The number of dimes is one more than the number of nickels, and the number of pennies is six more than the number of nickels. How many of each denomina
- The weight of all the boxes, divided by the number of boxes, equals the weight of one box. If there are 11 boxes each weighing 6 kilograms, what is the weight of all the boxes in kilograms?
- Dana inserted 9 coins, consisting of dimes and nickels, into a vending machine to purchase a snickers bar for 60 cents. How many coins of each type did she use?
- A collection of coins has a value of 64 cents. there are two more nickels than dimes and three times as many pennies as dimes. how many of each kind of coin are there?
- Max has a collection of 210 coins consisting of nickels, dimes, and quarters. He has twice as many dimes as nickels, and 10 more quarters than dimes. How many coins of each kind does he have?
- A piggy bank has nickles and dimes totaling $1.15. If the piggy bank contains exactly 15 coins, how many of each coin are in the piggy bank?
- Chen bought a bag of groceries weighing 15 pounds, His friend, Jo, bought a bag of groceries that also weighed 15 pounds, but contained one less item. The average weight per item for Jo's groceries was 0.5 pounds more than for Chen's. How many items were
- In 2011, the U.S. postal rates were 44 cents for the first ounce or fraction of an ounce, and 17 cents for each additional ounce or fraction of an ounce up to 3.5 ounces. Let p represent the total amount of postage (in cents) for a letter weighing x ounce
- A collection of thirty-seven coins consists of nickels, dimes and quarters. There are ten more dimes than nickels. Represent the value of all the coins using one variable.
- I have $9.45 in quarters and dimes in my pocket. The number of dimes is 18 less than twice the number of quarters. How many of each coin are there?
- A boy has $4.85 in nickels, dimes and quarters. If he has 35 coins in all, and five more quarters than nickels, how many of each type of coin does he have?
- Joe has a ring that weighs 15 grams made of an alloy of 20% silver and the rest of gold. He decides to melt down the rings and adds enough silver to reduce the gold content to 67%. How many grams of s
- A jar of change has 28 coins which is worth $2.60. If the jar only has nickels and dimes, how many of each type are in the jar?
- Gail has a collection of nickels, dimes, and quarters that is worth $7.95 altogether. If she has three more nickels than dimes, and 38 coins altogether, then how many of each kind of coin does she hav
- In a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels. What is the ratio of nickels to dimes?
- How many ounces of other metal must be added to 56 ounces of pure silver to make a composition that is 70% silver?
- Jose has $6.70 in an assortment of coins. If he has 3 more quarters than pennies, 11 more dimes than pennies, and 2.5 times as many nickels as pennies, how many of each type of coin does he have?
- Franklin has $3.00 in nickels, dimes, and quarters. If he has twice as many dimes as quarters, and five more nickels than dimes, how many coins of each type does he have?
- Alyssa has some coins in her purse consisting of pennies, nickels and dimes. She has 2 more nickels than dimes and thrice as many pennies as nickels. If the total is $0.52, how many coins of each kind
- A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit. a. 10 ounces for $1.06 b. 24 ounces for $2.45 c. 32 ounces for $3.07 d. 34 ounces for $4.01
- A child has a bottle full of pennies, nickels, dimes and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
- The Jaspers collect nickels, dimes, and quarters in a jar. When they count the change in the jar, there are twice as many nickels as there are quarters. If there is $15.30 in dimes and $74.80 in all,
- Jaime has $2.60 in dimes and nickels. the number of dimes is 14 more than the number of nickels. how many of each coin does he have?
- Andy has 145 coins in his coin bank. The number of 5-denomination coins is 10 more than twice the number of 10-denomination coins. The difference between the number of 1-denomination coins and 5-denom
- If Kyle has six more nickels than dimes and twice as many quarters as dimes, how many coins of each type does he have?
- Jim has some nickels, dimes and quarters worth $5.30. There are 5 times as many dimes as quarters, and 6 more nickels than dimes. How many of each kind of coin does he have?
- A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55. there are 4 more dimes than nickels and 3 quarters more than dimes. how many of each are there?
- A newspaper carrier has $4.804.80 in change. He has 6 more quarters than dimes but 5 times as many nickels as quarters. How many coins of each type does he have?
- In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 baskets in a game and 96 points total, how many regular baskets r and long-dis
- Andre placed some quarters and 1 dime into a money-counting machine. The machine reported that Andre has more than $5.00. Which inequality can be solved to find the number of quarters, x, Andre has?
- A coin collection contains 30 coins in nickels, dimes, and quarters. There are 3 more dimes than nickels. The value of the coins is $3.55. Find the number of quarters in the collection.
- A coin bank containing only dimes and quarters has 20 more dimes than quarters. The total value of the coins is $9. How many quarters and dimes are in the coin bank?
- A box had twice as many grapes as a basket. After 2 kilograms were added to the basket, it contains 0.5 kilograms more than the box. How many kilogram of grapes did the basket contain?
- Michael's bank contains only nickels, dimes, and quarters. There are 63 coins in all, valued at $5.50. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters
- Mike and Tom have a jar containing 62 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.50. How many of each type of coin do they have?
- A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 192 cents. How many pennies does the purse contain?
- A collection of coins has a value of 64 cents. there are two more nickels than dimes and three times as many pennies as dimes in this collection. how many of each kind of coin are in the collection?
- A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do you have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 25 times
- A coin collector has $2.00 in dimes and nickels. She has two more dimes than nickels. How many nickels does she have?
- Gold has a density of 19.3 g/cm3. What is the mass, in kilograms, of one cubic meter of gold?
- Clara has pennies and quarters in her purse. She counts a total of 28 coins. If the total value of the coins is 76 cents, p represents the number of pennies, and q represents the number of quarters, what system of equations can be used to determine the nu
- A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin?
- A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin is there?
- In counting the money collected on his paper route, Frank finds that he has 3 more dimes than nickels and 3 less dimes than quarters. If his total collection amounted to $13.40, how many coins of each kind did he have?
- Two identical boxes of softballs weigh a total of 480 ounces. 16 identical boxes of baseballs weigh a total of 224 pounds. Does a box of baseballs weigh more or less than a box of softballs?
- A chemist has x grams of an alloy that is 20% silver and 10% gold, and y grams of an alloy that is 25% silver and 30% gold. Express the number of grams of gold in the two alloys in terms of x and y.
- An algebra book weighs 6 oz less than twice as much as a grammar book. If 5 algebra books weigh the same as 8 grammar books, how much does an algebra book weigh?
- A box with apples weighs 35.8 kilograms. When half of the apples were sold, the weight of the box became 21.3 kilograms. What is the weight of the empty box?
- In a coin collection, the number of quarters in 3 times the number of dimes. If there are 68 coins in all, what fraction of the coins are dimes?
- In a coin collection, the number of quarters is 3 times the number of dimes. If there are 68 coins in all, what fraction of the coins are dimes?
- Devin has a change jar that contains only quarters and a half dollars. he has 63 coins which add up to a total of $20.25. how many of each type of coin does he have?
- A typical gold bar has dimensions of being 82 mm long, 45 mm wide and 16 mm deep. The current cost of gold is $1.368 per ounce (mass). What is the total surface area, in square inches, of the gold bar?
- What volume of silver metal will weigh exactly 2500.0 g? The density of silver is 10.5 g/cm^3.
- A box of cereal must weigh more than 629.4 g and less than 630.6 g, to pass inspection. The box in which the cereal is packaged weighs 5.5 g. What are the possible weights for the cereal?
- A golf ball weighs about 45.9 grams. About how many ounces would a dozen golf balls weigh?
- If an alloy containing 30% silver is mixed with a 55% silver alloy to get 800 pounds of 40% alloy, what weight of each must be used?
- A jar contains $8.75 in nickels, dimes and quarters. There are 2 times as many dimes as there are nickels, and 10 more dimes than quarters. How many of each coin are in the jar?
- A piggy bank contains 30 coins worth $2.70. If the bank only contains nickels or dimes, how many of each coin are there?
- Bag A, B and C each contain same coins. The total of number of coins in A and B together is 22. The total number of coins in A and C together is 18. The total number of coins in B and C together is 20
- Marfugge had $72.50 in quarters and half-dollars. If he had 190 coins in all, how many of each type of coin did he have?
- Mark has twice as many quarters as nickels and three more dimes than nickels. He has $4.20 in all. How many of each type of coin does he have?
- Vina has $4.70 in quarters, dimes, and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin does she have?
- I have only dimes, nickels, and pennies in my wallet. 7 of the coins are dimes, 25% are nickels and 5/9 of them are pennies. How many coins do I have?
- A collection of dimes and quarters has a total value of five dollars and contains 29 coins. How much of each kind of coin are there in the collection?