A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark mulch for $2.75 per bag.How bags of each type of mulch did they sell?

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Answer:

So here is the answer.

We represent h = hardwood and p = pine bark

Here is the equation: h + p = 176

2.75p + 3.50h = 520

Next, p = 176 -h (substitute)

2.75 (176-h) + 3.5h = 520

484 -2.75h + 3.5h = 520

3.5h-2.75h = 520 -484

0.75h = 36 (divide both by 0.75)

h = 48

Therefore, the number of hardwood sold is 48.

h + p = 176

p = 176-48

p= 128

The number of pine bark sold is 128.

Hope this helps :)

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