This math topic focuses on using algebra to solve problems involving coins. Specifically, students practice determining the number of coins of different denominations under the condition that there are equal quantities of certain types of coins. Each problem involves a total monetary value given, along with the condition of equal counts for specific pairs of coin types (e.g., the same number of nickels as quarters and pennies as dimes). Students must figure out either the number of a particular coin type or the total number of coins. The problems are multiple-choice, providing several possible answers per question.

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

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Algebra with Coins - Same Count of Two and Two with Four Coin Types - to Answer Worksheet

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Algebra with Coins - Same Count of Two and Two with Four Coin Types - to Answer
1
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Some coins have a total value of $3.28 There are the same number of Pennies, Nickels, Dimes, and Quarters, and only those coins. How many Nickels are there?
a
15
b
3
c
10
d
7
e
8
2
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Some coins have a total value of $1.56 There are the same number of Pennies and Dimes, and the same number of Nickels and Quarters. How many Quarters are there?
a
3
b
12
c
7
d
11
3
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Some coins have a total value of $3.44 There are the same number of Nickels and Quarters, and the same number of Pennies and Dimes. How many Nickels are there?
a
7
b
10
c
5
d
1
4
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Some coins have a total value of $3.27 There are the same number of Dimes and Quarters, and the same number of Pennies and Nickels. How many Nickels are there?
a
3
b
9
c
5
d
2
5
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Some coins have a total value of $3.14 There are the same number of Nickels and Quarters, and the same number of Pennies and Dimes. How many Quarters are there?
a
3
b
9
c
16
d
8
e
1
6
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Some coins have a total value of $3.41 There are the same number of Nickels and Quarters, and the same number of Pennies and Dimes. How many Nickels are there?
a
15
b
9
c
20
d
10
e
11
7
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Some coins have a total value of $3.45 There are the same number of Dimes and Quarters, and the same number of Pennies and Nickels. How many Dimes are there?
a
1
b
3
c
8
d
9
8
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Some coins have a total value of $1.70 There are the same number of Pennies and Nickels, and the same number of Dimes and Quarters. How many Nickels are there?
a
5
b
2
c
1
d
3