A local boys club sold 176 bags of mulch and made a total of $336. It sold two types of mulch: hardwood for $2.25 a bag and pine bark for $1.75 a bag. How many bags of each kind of mulch did it sell?
Let the bags of hardwood mulch sold = x
Then the bags of pine bark sold = 176 - x
So price * bags sold = money made ......so
2.25 (x) + 1.75 ( 176 - x) = 336 simplify
2.25x + 308 - 1.75x = 336
.50x + 308 = 336 subtract 308 from both sides
.50x = 28 divide both sides by .50
x = 56 = bags of hardwood sold
176 - 56 = 120 = bags of pine bark sold