SOLUTION: Ben has twice as many quarters as nickels. if the total is $8.25 how many quarters does he have?

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Question 548261: Ben has twice as many quarters as nickels. if the total is $8.25 how many quarters does he have?
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Let q be the number of quarters and n be the number of nickels. From the question we know that
q=2n (1)
and
25q%2B5n=825 (2)
(Note: I had to change 8.25 to cents so everything was measure in the same units... as well I used 25 for q since quarters are 25 cents and 5 for n as nickels are worth 5 cents.)

Now we can substitute (1) into (2) and solve for n. This leaves:
25%282n%29%2B5n=825
50n%2B5n=825
55n=825
n=825%2F55%7D%7D%0D%0A%7B%7B%7Bn=15
Now we know we have 15 nickels... to find the number of quarters we have, we must substitute this number of nickels back into equation (1) and solve for q. I will leave this next part to you..
Let me know if you are unsure about anything:)