SOLUTION: You were given $0.65 change using only a total of 5 dimes and quarters combined. how many of each coin are there?

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Question 1002940: You were given $0.65 change using only a total of 5 dimes and quarters combined. how many of each coin are there?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Mentally, we see that there are 4 dimes and 1 quarter.

Algebraically,

d = number of dimes
q = number of quarters

10d + 25q = 65
d + q = 5

Multiply the second equation by 10.

10d + 25q = 65
-(10d + 10q = 50)
--------------------
15q = 15
q = 1

Like before, we have 4 dimes and 1 quarter.