SOLUTION: You have a handful of dimes and quarters with a total value of $5. You have 8 more dimes than quarters. How many dimes and quarters do you have?

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Question 947019: You have a handful of dimes and quarters with a total value of $5. You have 8 more dimes than quarters. How many dimes and quarters do you have?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
d and q, count of each coin;

system%280.1d%2B0.25q=5%2Cd-q=8%29

Handle the money equation.
10d%2B25q=500
2d%2B5q=100

This system is simple to solve:
system%282d%2B5q=100%2Cd-q=8%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

You have a handful of dimes and quarters with a total value of $5. You have 8 more dimes than quarters. How many dimes and quarters do you have?
Let number of dimes be D, and number of quarters, Q

Then: .1D + .25Q = 5 ----- eq (i)

Also, D = Q + 8 ---------- eq (ii)

.1(Q + 8) + .25Q = 5 ------- Substituting Q + 8 for D in eq (i)

.1Q + .8 + .25Q = 5

.1Q + .25Q = 5 - .8

.35Q = 4.2

Q, or number of quarters = 4.2%2F.35, or highlight_green%2812%29

You should be able to find D: the number of dimes.