This math topic focuses on algebraic reasoning using coin-based problems. It requires students to determine the quantities of various types of coins based on given relationships and total values. The equations involve ratios such as "X times as many" of one type of coin compared to another across three coin types (e.g., Pennies, Nickels, Dimes, Quarters). Students are presented with a total dollar amount and the relative quantities of different coins, and they must deduce the number of individual coins based on these relationships. This topic is an introductory study of basic 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 $1.17. There are 2 times as many Pennies than Nickels and 2 times as many Nickels than Quarters. How many Nickels are there?
a
14
b
2
c
3
d
6
e
4
2
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Some coins have a total value of $0.48. There are 2 times as many Pennies than Nickels and 2 times as many Nickels than Dimes. How many Pennies are there?
a
6
b
8
c
17
d
13
e
1
3
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Some coins have a total value of $0.72. There are 2 times as many Pennies than Nickels and 2 times as many Nickels than Dimes. How many Dimes are there?
a
3
b
4
c
1
d
2
4
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Some coins have a total value of $0.78. There are 2 times as many Pennies than Nickels and 2 times as many Nickels than Quarters. How many Nickels are there?
a
7
b
6
c
12
d
1
e
4
5
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Some coins have a total value of $0.65. There are 2 times as many Nickels than Dimes and 2 times as many Dimes than Quarters. How many Quarters are there?
a
6
b
8
c
1
d
4
6
An svg image showing a math problem
Some coins have a total value of $0.65. There are 2 times as many Nickels than Dimes and 2 times as many Dimes than Quarters. How many Dimes are there?
a
10
b
2
c
5
7
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Some coins have a total value of $0.24. There are 2 times as many Pennies than Nickels and 2 times as many Nickels than Dimes. How many Pennies are there?
a
9
b
5
c
1
d
8
e
4
8
An svg image showing a math problem
Some coins have a total value of $1.30. There are 2 times as many Nickels than Dimes and 2 times as many Dimes than Quarters. How many Quarters are there?
a
4
b
5
c
8
d
2