Alocal boys club sold 156 bags of mulch and made a total of $441. it sold two types of mulch : hardwood for $3.00 a bag and pine bark for $2.75 a bag. how many bags of each kind of mulch did it sell?

Hardwood bags = 48 pieces

Pine bark bags = 108 pieces

Step-by-step explanation:

Let, the number of hardwood bags = X

The number of pine bark bags = 156 - X

According to the question,

3X + 2.75*(156-X) = 441

or, 3X + 429 - 2.75X = 441

or, 0.25X = 441 - 429

or, 0.25X = 12

or, X = 12/0.25

or, X = 48

Therefore, the number of hardwood bags, X = 48

The number of pine bark bags = 156 - 48 = 108

Notes:

Hardwood bags = 48*$3 = $144

Pine bark bags = 108*$2.75 = $297

Total sales = $144 + $297 = $441