SOLUTION: 5.00 $ in coins, there are only quarters nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is one third the number of nickels. Ho

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Question 935514: 5.00 $ in coins, there are only quarters nickels and dimes. The number of dimes is equal to the number of quarters and the number of quarters is one third the number of nickels. How many dimes are there.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Coin count
D=Q
Q=%281%2F3%29N
So,
D=%281%2F3%29N
Money count
5N%2B10D%2B25Q=500
Substituting,
5N%2B10%281%2F3%29N%2B25%281%2F3%29N=500
%285%2B10%2F3%2B25%2F3%29N=500
%2815%2F3%2B10%2F3%2B25%2F3%29N=500
%2850%2F3%29N=500
N=30
Then,
D=Q=%281%2F3%29%2830%29
D=Q=10
30 nickels, 10 dimes, 10 quarters