SOLUTION: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?

Question 62086: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Make an equation from each sentence: d = no of dimes; q = number of quarters
:
"Merlin has 20 coins in quarters and dimes."
d + q = 20
we will use this for substitution in the $ equation:
d = (20-q)
:
The total value of the coins is $3.95."
.10d + .25 = 3.95
;
Substitute (20-q) for d in the above equation and solve for q:
.10(20-q) + .25q = 3.95
2 - .10q + .25q = 3.95
.15q = 3.95 - 2
.15q = 1.95
q = 1.95/.15
q = 13 quarters
:
I'll let you find out the number of dimes. Check the solutions in the $$equation

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