SOLUTION: Tim Whitman has $4.50 in change in his desk drawer to use on the vending ma- chines downstairs. He has four more quarters than dimes. He has three times as many nickels as dimes.

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Question 1033151: Tim Whitman has $4.50 in change in his desk drawer to use on the vending ma- chines downstairs. He has four more quarters than dimes. He has three times as many nickels as dimes. How many coins of each type does he have?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
If Tim has $4.50 in change, over dimes, nickels, and quarters,..then:
25Q+10D+5N=450. Using dimes as our standard, we get:
Q=D+4;
N=3D, so:
25(D+4)+10D+5(3D)=450
25D+100+10D+15D=450
50D=350
D=7
If D=7, then Q=11, and N=21.
Let's see;
11(25)+10(7)+21(5)=275+70+105=450
Tim has 11 quarters, 7 dimes, and 21 nickels!!!!!!!!