5. Howard has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has of each coin.

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
icon
Related questions
Question
100%
Question 5
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.
Kind of Coins
Penny
Nickel
Dime
Number of
Coins
Coin
Value
1
5
10
Total Value
Quarter
25
3. Number of Coins x Coin Value = Total Value
4. Use "n" to represent the unknown number of coins.
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. Patria has 3 times as many dimes as nickels. In all she has $1.40. How many coins of each type does
she have?
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.
Transcribed Image Text: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. Kind of Coins Penny Nickel Dime Number of Coins Coin Value 1 5 10 Total Value Quarter 25 3. Number of Coins x Coin Value = Total Value 4. Use "n" to represent the unknown number of coins. 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. Patria has 3 times as many dimes as nickels. In all she has $1.40. How many coins of each type does she have? 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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell