SOLUTION: Lou has quarters and dimes in his own coin bank. There are 26 coins in the bank. If he add 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the no. of quart

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Question 48326: Lou has quarters and dimes in his own coin bank. There are 26 coins in the bank. If he add 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the no. of quarters and dimes Lou originally have.
Answer by AnlytcPhil(1806) About Me  (Show Source):
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Lou has quarters and dimes in his own coin bank. There
are 26 coins in the bank. If he add 7 quarters and 3 
dimes, the total value of the coins will be $7.35. 
Find the no. of quarters and dimes Lou originally have.

Q + D = 26
.25(Q + 7) + .10(D + 3) = 7.35 

Simplify the second equation and solve the system.

Answer: 18 quarters and 8 dimes.

Check:  18+8 = 26 coins

18+7 or 25 quarters is worth $6.25
8+3 or 11 dimes is worth $1.10
That would be a total of $7.35

Edwin