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)   (Show Source): You can put this solution on YOUR website!
d and q, count of each coin;



Handle the money equation.



This system is simple to solve:
Answer by MathTherapy(10552)   (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 = , or 

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

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