SOLUTION: Eighty-six coins made up of dimes and quarters amount to $14.60. How many of each of these coins are there?

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Question 336591: Eighty-six coins made up of dimes and quarters amount to $14.60. How many of each of these coins are there?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, Q the number of quarters.
1.D%2BQ=86
2.10D%2B25Q=1460
From eq. 1,
D=86-Q
Substitute into eq. 2,
10%2886-Q%29%2B25Q=1460
860-10Q%2B25Q=1460
15Q=600
highlight%28Q=40%29
Then from eq. 1,
D%2B40=86
highlight%28D=46%29