This math topic focuses on algebraic problems involving calculations with different types of coins (pennies, nickels, dimes, quarters) where relationships between the quantities of each type are expressed in multiples. The problems require determining the number of a specified type of coin based on given total values and proportional relationships among the coins. Skills practiced include solving basic algebraic equations and applying proportional reasoning to real-world contexts, specifically financial calculations. This is an introductory level exploration of algebraic concepts using practical scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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Algebra with Coins - X Times as Many of Coin and Total - Three Coin Types - to Answer
1
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Some coins have a total value of $1.92. There are 3 times as many Pennies than Dimes and 3 times as many Dimes than Quarters. How many Pennies are there?
a
31
b
15
c
27
d
29
e
41
2
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Some coins have a total value of $1.46. There are 2 times as many Pennies than Dimes and 4 times as many Dimes than Quarters. How many Quarters are there?
a
6
b
5
c
8
d
2
3
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Some coins have a total value of $1.28. There are 3 times as many Pennies than Dimes and 3 times as many Dimes than Quarters. How many Quarters are there?
a
9
b
4
c
2
d
10
e
3
4
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Some coins have a total value of $2.30. There are 4 times as many Nickels than Dimes and 3 times as many Dimes than Quarters. How many Dimes are there?
a
8
b
13
c
6
d
1
5
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Some coins have a total value of $0.31. There are 2 times as many Pennies than Nickels and 3 times as many Nickels than Dimes. How many Nickels are there?
a
10
b
1
c
9
d
3
6
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Some coins have a total value of $0.67. There are 4 times as many Pennies than Dimes and 3 times as many Dimes than Quarters. How many Quarters are there?
a
1
b
4
c
8
d
9
7
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Some coins have a total value of $0.84. There are 3 times as many Pennies than Nickels and 4 times as many Nickels than Dimes. How many Pennies are there?
a
38
b
24
c
42
d
12
e
34
8
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Some coins have a total value of $3.00. There are 3 times as many Nickels than Dimes and 3 times as many Dimes than Quarters. How many Quarters are there?
a
6
b
7
c
3
d
1
e
8