This math topic explores algebraic reasoning using coin problems. Each problem involves determining the count of specific coin types when given their total value. Variances are included in at least one coin type while keeping others consistent in number, challenging students to formulate and solve equations based on given parameters. The problems vary in complexity involving nickels, dimes, quarters, and pennies, enhancing the ability to apply basic concepts of algebra related to real-world scenarios. This helps build foundational algebra skills by interconnecting value calculations and quantity assessments.

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 Three with Four Coin Types - to Answer Worksheet

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Algebra with Coins - Same Count of Three with Four Coin Types - to Answer
1
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Some coins have a total value of $1.63 There are the same number of Nickels, Dimes, and Quarters but a different number of Pennies. How many Dimes are there?
a
1
b
8
c
10
d
4
2
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Some coins have a total value of $1.39 There are the same number of Pennies, Nickels, and Dimes but a different number of Quarters. How many Pennies are there?
a
6
b
3
c
8
d
4
3
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Some coins have a total value of $1.73 There are the same number of Pennies, Nickels, and Dimes but a different number of Quarters. How many Pennies are there?
a
3
b
10
c
8
d
6
4
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Some coins have a total value of $2.05 There are the same number of Pennies, Nickels, Dimes, and Quarters, and only those coins. How many Quarters are there?
a
3
b
5
c
13
5
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Some coins have a total value of $1.03 There are the same number of Pennies, Nickels, and Quarters but a different number of Dimes. How many Nickels are there?
a
3
b
1
c
6
d
12
e
4
6
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Some coins have a total value of $0.71 There are the same number of Pennies, Nickels, and Quarters but a different number of Dimes. How many Nickels are there?
a
10
b
9
c
7
d
1
7
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Some coins have a total value of $1.14 There are the same number of Pennies, Nickels, and Dimes but a different number of Quarters. How many Dimes are there?
a
1
b
5
c
4
d
10
e
6
8
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Some coins have a total value of $1.33 There are the same number of Pennies, Nickels, and Quarters but a different number of Dimes. How many Nickels are there?
a
5
b
11
c
12
d
3
e
1