SOLUTION: A local boys club sold 176 bags of mulch and made a total of 510. It sold two types of mulch: hardwood for 3.25 a bag and pine for 2.75 a bag. How many bags of each kind of mulch d

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Question 1016554: A local boys club sold 176 bags of mulch and made a total of 510. It sold two types of mulch: hardwood for 3.25 a bag and pine for 2.75 a bag. How many bags of each kind of mulch did it sell
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x bags of the hardwood
y bags of the pine


Account for the number of bags and for the revenue of the sales:
system%28x%2By=176%2C3.25x%2B2.75y=510%29

More than one way to solve for x and y.
system%28x%2By=176%2C13x%2B11y=2040%29
system%28y=176-x%2C13x%2B11y=2040%29
13x%2B11%28176-x%29=2040
13x%2B11%2A176-11x=2040
2x%2B11%2A176=2040
2x=2040-11%2A176
x=1020-11%2A88

highlight%28x=52%29
and highlight%28y=124%29.