SOLUTION: In a jar of coins, there are a total of 24 coins of quarters and nickels. The value of the quarters equals the value of the nickels. Determine how many of each coin are in the jar.

Question 965383: In a jar of coins, there are a total of 24 coins of quarters and nickels. The value of the quarters equals the value of the nickels. Determine how many of each coin are in the jar.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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For every quarter there are 5 nickels, for a group of six coins.
24/6=4 groups of 1 quarter and 5 nickels, so there are 4 quarters and 20 nickels in the jar.
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For a more thorough mathematical solution:
Q=number of quarters; N=number of nickels
Q+N=24
N=24-Q Use this to substitute for N
$0.25Q=$0.05N Substitute for N
$0.25Q=$0.05(24-Q)
$0.25Q=$1.20Q-$0.05Q Add $0.05Q to each side.
$0.30Q=$1.20 Divide each side by $0.30
Q=4 ANSWER 1: There are four quarters.
N=24-Q=24-4=20 ANSWER 2: There are 20 nickels.

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