SOLUTION: Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

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Question 312376: Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, Q be the number of quarters.
Write an equation for the total number of coins.
1.D%2BQ=46
Write an equation for the total value of the coins.
2.10D%2B25Q=700
Multiply eq. 1 by -10 and add to eq. 2,
-10D-10Q%2B10D%2B25Q=-460%2B700
15Q=240
Q=16
Then from eq. 1,
D%2BQ=46
D%2B16=46
D=30
Thirty dimes and sixteen quarters.