SOLUTION: I have certain number of dimes(10c), and I have four more quarters than dimes. Their total value is $3.80. How many of each do I have?

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Question 827161: I have certain number of dimes(10c), and I have four more quarters than dimes. Their total value is $3.80. How many of each do I have?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
so being that there are 4 more quarters the dimes that's 1 dollar that we already know is made up of just quarters, 3.80-1.00=2.80
so really we are looking for how many quarters and dimes make up 2.80, but there has to be an equal amount of quarters and dimes for the other 4 quarters to stay the only 4 quarters more then dimes
so at this point the amount of quarters is the same as the amount of dimes that will add up to 2.80
q=d
.25q%2B.10d=2.80
use substitution
.25d%2B.10d=2.80
add like terms
.35d=2.80
divide by .35
d=8
since there are 4 more quarters then dimes
8%2B4=q
12=q
there are 8 dimes and 12 quarters