SOLUTION: a piggy bank contained 55 coins comprised of dimes and quarters. the coins added up to $9.25. how many quarters were in the piggy bank.

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Question 1065364: a piggy bank contained 55 coins comprised of dimes and quarters. the coins added up to $9.25. how many quarters were in the piggy bank.
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes and q quarters

system%28d%2Bq=55%2C10d%2B25q=925%29

Simplify the money-count equation.
2d%2B5q=185

System to solve, system%282d%2B5q=185%2Cd%2Bq=55%29
and Elimination may be used...

system%282d%2B5q=185%2C2d%2B2q=110%29

3q=75
highlight%28q=25%29, and you can find d.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
a piggy bank contained 55 coins comprised of dimes and quarters. 


So:   x + y = 55



So: 0.10x + 0.25y = 9.25

That gives you the system of equations:

system%28x%2By=55%2C0.10x%2B0.25y=9.25%29

Multiply the second equation through by 100:

system%28x%2By=55%2C10x%2B25y=925%29

Solve this for x and y by substitution or elimination. 

Edwin