Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.
2 answers:
Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
Answer: 14 pennies and 8 nickels. (:
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