Question

Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.

How many of each type of coin does Ari have?

_______ pennies and ________ nickels

Answer 1

Answer: 14 and 8.

Explanation:

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Answer 2

Let the number of pennies be p and the number of nickels be n.
p + n = 22
p = 22 - n

The total value equation:
0.01p + 0.05n = 0.54

Substituting the value of p from the first equation:
0.01(22 - n) + 0.05n= 0.54

0.22 - 0.01n + 0.05n = 0.54
0.04n = 0.32
n = 8
p = 22 - 8 = 14

14 pennies and 8 nickels