SOLUTION: Pleas help me solve this problem. A piggy bank contains nickels, dimes, and quarters. The number of nickles is 15 more than 3 times the number of dimes. There are as many quarters

Question 1012772: Pleas help me solve this problem. A piggy bank contains nickels, dimes, and quarters. The number of nickles is 15 more than 3 times the number of dimes. There are as many quarters as nickles and dimes combined. If there are 78 coins in total,how many of each coin are there?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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N=nickels; D=dimes; Q=quarters
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N=3D+15
Q=N+D=4D+15
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N+D+Q=78
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(3D+15)+D+(4D+15)=78
8D+30=78
8D=48
D=6
ANSWER 1: There are 6 dimes.
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N=3D+15=3(6)+15=18+15=33
ANSWER 2: There are 33 nickels.
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Q=4D+15=4(6)+15=24+15=39
ANSWER 3: There are 39 dimes.
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CHECK:
N+D+Q=78
33+6+39=78
78=78
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