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Set up and solve a system of equations to solve the problem.
A local boys club sold 136 bags of mulch and made a total of $400. It sold two types of
mulch: hardwood for $3.25 a bag and pine bark for $2.75 a bag. How many bags of each
kind of mulch did it sell?
The boys club sold
bags of hardwood mulch and
bags of pine bark mulch.


The boys club sold __ bags of hardwood mulch and __ bags of pine bark mulch

Respuesta :

calculista

Answer:

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

Step-by-step explanation:

Let

x ----> the number of bags of hardwood mulch sold

y ----> the number of bags of pine bark mulch sold

we know that

A local boys club sold 136 bags of mulch and made a total of $400

so

[tex]x+y=136[/tex] ----> equation A

[tex]3.25x+2.75y=400[/tex] ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (52,84)

see the attached figure

therefore

The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch

Ver imagen calculista

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