Question 170944: If I have 45 dimes and quarters and I have $7.50. How many of each coin do I have? What would be the equation to solve this problem? Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! lets call # of dimes and quarters, d and q, respectively
:
d+q=45.........eq 1
.1d+.25q=7.5...eq 2
:
lets rewrite eq 1. to d=45-q.....now take d's value and plug it into eq 2
:
.1(45-q)+.25q=7.5--->distribute
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4.5-.1q+.25q=7.5---->combine like terms
:
.15q=3
: quarters dimes