SOLUTION: A purse contains $3.25 in quarters, dimes, and nickels. The purse contains twice as many dimes as nickels. The purse contains a total of 23 coins. Find the number of each kind o

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A purse contains $3.25 in quarters, dimes, and nickels. The purse contains twice as many dimes as nickels. The purse contains a total of 23 coins. Find the number of each kind o      Log On

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Question 1053312: A purse contains $3.25 in quarters, dimes, and nickels. The purse contains twice as many dimes as nickels. The purse contains a total of 23 coins. Find the number of each kind of coin.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be nickels, d be dimes, and q be quarters. Then:
n+d+q=23
We also know that d=2n. So:
n+2n+q=23 and
5n+10(2n)+25q=325
3n+q=23
25n+25q=325
75n+25q=575
50n=250
n=5
d=10
q=8
The purse contains 5 nickels, 10 dimes, and 8 quarters. ☺☺☺☺