SOLUTION: Abby has 36 coins, consisting only of dimes and quarters, worth $7.95. How many dimes and how many quarters does she have?

Question 649635: Abby has 36 coins, consisting only of dimes and quarters, worth $7.95. How many dimes and how many quarters does she have?
Found 2 solutions by checkley79, josmiceli:
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
.25X+.10(36-X)=7.95
.25X+3.6-.10X=7.95
.15X=7.95-3.6
.15X=4.35
X=4.35/.15
X=29 NUMBER OF QUARTERS.
36-29=7 DIMES.
PROOF:
.25*29+.10*7=4.95
7.25+.70=7.95
7.95=7.95
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There must be an odd number of quarters, since
the sum ends in a 5. If there was an even number,
it would end in 0.
------------------
I will try 29 quarters. That comes to
or $.70. That is 7 dimes
coins
-------------------
There are 29 quarters and 7 dimes

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