SOLUTION: A loyal boys club sold 176 bags of mulch and made a total of $520. It sold wo types of mulch: hardwood for $3.50 a bag and pine bark for $2.75 a bag. How many bags of each kind of

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Question 1190106: A loyal boys club sold 176 bags of mulch and made a total of $520. It sold wo types of mulch: hardwood for $3.50 a bag and pine bark for $2.75 a bag. How many bags of each kind of mulch did it sell.
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A loyal boys club sold 176 bags of mulch and made a total of $520.
It sold wo types of mulch: hardwood for $3.50 a bag and pine bark for $2.75 a bag.
How many bags of each kind of mulch did it sell.
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x bags at the price of $3.50 per bag, and

(176-x) bags at the price of $2.75 per bag.


Write the total money equation


    3.50x + 2.75*(176-x) = 520  dollars.


From the equation, find x


    x = %28520-2.75%2A176%29%2F%283.50-2.75%29 = 48.


ANSWER.  There are 48 hardwood bags and the rest, 176 - 48 = 128 are pine bark bags.


CHECK.   48*3.50 + 128*2.75 = 520 dollars, total.    ! Correct !

Solved.