This topic focuses on algebraic problems involving calculations with two types of coins, which must have equal counts. Specifically, it helps learners develop their ability to set up and solve equations based on the given total value and constraints about coin types and amounts. The problems use common U.S. coin denominations such as pennies, nickels, dimes, and quarters to frame questions about determining how many of each type of coin are present when their combined total equals a specific dollar amount. This set of problems is positioned as an introductory exercise in basic algebra concepts.

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 with Two Coin Types - to Answer Worksheet

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Algebra with Coins - Same Count of Two with Two Coin Types - to Answer
1
Some coins have a total value of $0.36 There are the same number of Pennies and Nickels, and only those coins. How many Nickels are there?
An svg image showing a math problem
a
6
b
12
c
2
d
10
e
7
2
Some coins have a total value of $0.78 There are the same number of Pennies and Quarters, and only those coins. How many Quarters are there?
An svg image showing a math problem
a
8
b
3
c
4
d
5
e
9
3
Some coins have a total value of $0.45 There are the same number of Nickels and Dimes, and only those coins. How many Dimes are there?
An svg image showing a math problem
a
2
b
5
c
4
d
3
4
Some coins have a total value of $3.00 There are the same number of Nickels and Quarters, and only those coins. How many Quarters are there?
An svg image showing a math problem
a
1
b
7
c
6
d
10
5
Some coins have a total value of $2.86 There are the same number of Pennies and Quarters, and only those coins. How many Quarters are there?
An svg image showing a math problem
a
11
b
2
c
10
6
Some coins have a total value of $0.55 There are the same number of Pennies and Dimes, and only those coins. How many Pennies are there?
An svg image showing a math problem
a
8
b
2
c
3
d
5
7
Some coins have a total value of $2.08 There are the same number of Pennies and Quarters, and only those coins. How many Pennies are there?
An svg image showing a math problem
a
9
b
17
c
3
d
8
8
Some coins have a total value of $3.50 There are the same number of Dimes and Quarters, and only those coins. How many Dimes are there?
An svg image showing a math problem
a
11
b
6
c
3
d
10
e
7