SOLUTION: Stefan has 42 coins in his collection. The coins consist of nickels, dimes, and quarters. He has twice as many quarters as dimes. Although the collection has been appraised at $120
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Question 71758: Stefan has 42 coins in his collection. The coins consist of nickels, dimes, and quarters. He has twice as many quarters as dimes. Although the collection has been appraised at $1200, the coins' face value is $6.60. How many of each type of coin does he have? Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! N+D+Q=42
Q=2D
5N+10D+25Q=660
N+D+2D=42
N+3D=42
N=42-3D SO
5(42-3D)+10D+25(2D)=660
210-15D+10D+50D=660
45D=660-210
45D=450
D=450/45
D=10 ANSWER NUMBER OF DIMES
Q=2*10=20 ANSWER NUMBER OF QUARTERS
N+10+20=42
N=42-30
N=12 ANSWER NUMBER OF NICKELS
PROOF
5*12+10*10+25*20=660
60+100+500=660
660=660
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