This topic focuses on algebra problems involving relationships between different types of coins and their total values. It is designed to develop skills in forming and solving linear equations based on ratios and given total values. Specifically, learners will calculate the number of each type of coin—Pennies, Nickels, Dimes, and Quarters—based on fractional relationships between them. The problems also introduce scenarios with varying total values, requiring the application of basic algebraic concepts to find solutions. These exercises are categorized under introductory algebra concepts involving three different coin types.

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Algebra with Coins - X Fraction as Many of Coin and Total - Three Coin Types - to Answer Worksheet

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Algebra with Coins - X Fraction as Many of Coin and Total - Three Coin Types - to Answer
1
Some coins have a total value of $1.34. There are 1/4 as many Dimes as Pennies and 1/3 as many Quarters as Dimes. How many Pennies are there?
An svg image showing a math problem
a
6
b
30
c
14
d
10
e
24
2
Some coins have a total value of $0.51. There are 1/3 as many Dimes as Pennies and 1/2 as many Quarters as Dimes. How many Pennies are there?
An svg image showing a math problem
a
6
b
13
c
10
d
2
3
Some coins have a total value of $0.72. There are 1/2 as many Nickels as Pennies and 1/2 as many Dimes as Nickels. How many Dimes are there?
An svg image showing a math problem
a
5
b
1
c
3
d
7
4
Some coins have a total value of $0.52. There are 1/3 as many Nickels as Pennies and 1/2 as many Dimes as Nickels. How many Dimes are there?
An svg image showing a math problem
a
5
b
9
c
3
d
1
e
2
5
Some coins have a total value of $0.84. There are 1/3 as many Nickels as Pennies and 1/4 as many Dimes as Nickels. How many Nickels are there?
An svg image showing a math problem
a
9
b
13
c
12
d
8
e
1
6
Some coins have a total value of $2.50. There are 1/3 as many Dimes as Nickels and 1/4 as many Quarters as Dimes. How many Nickels are there?
An svg image showing a math problem
a
16
b
10
c
22
d
24
e
38
7
Some coins have a total value of $1.56. There are 1/4 as many Nickels as Pennies and 1/3 as many Quarters as Nickels. How many Pennies are there?
An svg image showing a math problem
a
12
b
18
c
57
d
36
e
24
8
Some coins have a total value of $0.76. There are 1/2 as many Nickels as Pennies and 1/4 as many Dimes as Nickels. How many Dimes are there?
An svg image showing a math problem
a
5
b
2
c
8
d
6
e
4