iconicratisa
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A local boys club sold 156 bags of mulch and made a total of $596. It sold two types of mulch: hardwood for $4.00 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?

Sagot :

debmc7
44 bags of hardwood, 112 bags of pine bark mulch.

we have two equations. I’ll call hardwood h, and pine bark p.

The number of bags: h + p = 156
The cost of the bags: 4h + 3.75p = 596

Start by solving the first equation for h in terms of p
h = 156 - p

Then substitute that in the other equation for h, and solve for a numerical value of p

4(156-p) + 3.75p = 596
624 -4p + 3.75p = 596
28 = 0.25p
p = 112

Now plug that in to the first equation to get the numerical value of h
h + p = 156
h + 112 = 156
h = 44

Check the math:
4(44) + 3.75(112)
176 + 420 = 596

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.