SOLUTION: You have $3.40 in quarters and dimes. You have one more quarter than you have dimes. How many of each type of coin do you have?

Question 637832: You have $3.40 in quarters and dimes. You have one more quarter than you have dimes. How many of each type of coin do you have?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let d = number of dimes
Let q = number of quarters
Given
Total amount of money is $3.40 or 340cents
(1) q = d+1
Total amount of cents is given by
(2) 10*d + 25*q = 340
Substitute (1) into (2)
10*d + 25*(d + 1) = 340 which simplifies to
35*d = 340 - 25
35*d = 315
d = 315/35
d = 9
Using (1) we get
q = d + 1
d = 10
Check the solution.
Is (10*9 + 25*10 = 340)?
Is (90 + 250 = 340)?
Is (340 = 340)? Yes
Answer: We have 9 dimes and 10 quarters.
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