SOLUTION: John has $1.00 in coins. One fifth are dimes, two fifteenth are nickels and two thirds are pennies. how many of each coin does John have?

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Question 366251: John has $1.00 in coins. One fifth are dimes, two fifteenth are nickels and two thirds are pennies. how many of each coin does John have?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
let x = total number of coins. Then x/5 = # of dimes, 2x/15 = # of nickels, and 2x/3 = # of pennies. Then
%28x%2F5%29%2A0.10+%2B+%282x%2F15%29%2A0.05+%2B+%282x%2F3%29%2A0.01+=+1.00,
0.30x+%2B+0.10x+%2B+0.10x+=+15, after multiplying both sides by 15.
0.50x+=+15,
x = 30.
Thus there are 6 dimes, 4 nickels, and 20 pennies.