Solve each word problem by using the big ideas above to set up an equation. 1. Bill has 4 times as many quarters as dimes. In all he has $2.20. How many coins of each type does he have? Hint: Let n represent the number of dimes, and so 4n will represent the number of quarters. Then fill-in the table and set up your equation as n(10) + 4n(25) = 220. Notice that the $2.20 is written without the decimal because everything is in cents.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.2: Writing And Solving Problems
Problem 9C
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Part B. Coin Problems
Big Ideas
1. To solve problems involving coins-pennies, nickels, dimes, and quarters-use the same unit of money.
cents.
2. Use the following table to organize all the information.
Number of Coin
Coins
Kind of Coins
Penny
Nickel
Dime
Quarter
25
3. Number of Coins x Coin Value = Total Value
4. Use "n" to represent the unknown number of coins.
Value Total Value
1
5
10
Solve each word problem by using the big ideas above to set up an equation.
1. Bill has 4 times as many quarters as dimes. In all he has $2.20. How many coins of each type does he
have?
Hint: Let n represent the number of dimes, and so 4n will represent the number of quarters. Then fill-in
the table and set up your equation as n(10) + 4n(25)= 220. Notice that the $2.20 is written without the
decimal because everything is in cents.
2.
3. Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. In all he has
$1.80. How many coins of each type does he have?
4. Sally has three times as many dimes as nickels and twice as many quarters as dimes. In all she has
$5.55. How many coins of each type does she have?
5. Howard has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has
of each coin.
Patria has 3 times as many dimes as nickels. In all she has $1.40. How many coins of each type does
she have?
Transcribed Image Text:Part B. Coin Problems Big Ideas 1. To solve problems involving coins-pennies, nickels, dimes, and quarters-use the same unit of money. cents. 2. Use the following table to organize all the information. Number of Coin Coins Kind of Coins Penny Nickel Dime Quarter 25 3. Number of Coins x Coin Value = Total Value 4. Use "n" to represent the unknown number of coins. Value Total Value 1 5 10 Solve each word problem by using the big ideas above to set up an equation. 1. Bill has 4 times as many quarters as dimes. In all he has $2.20. How many coins of each type does he have? Hint: Let n represent the number of dimes, and so 4n will represent the number of quarters. Then fill-in the table and set up your equation as n(10) + 4n(25)= 220. Notice that the $2.20 is written without the decimal because everything is in cents. 2. 3. Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. In all he has $1.80. How many coins of each type does he have? 4. Sally has three times as many dimes as nickels and twice as many quarters as dimes. In all she has $5.55. How many coins of each type does she have? 5. Howard has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has of each coin. Patria has 3 times as many dimes as nickels. In all she has $1.40. How many coins of each type does she have?
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