A local boys club sold 176 bags of mulch and made a total of $520. It sold two 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?

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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ahirohit963 ahirohit963 · Answer 2 · 2021-11-08T14:27:34+01:00

The total number of hardwood mulch is 48 and pine bark mulch is 128 and this can be determine by forming the linear equation in two variables.

Given :

A local boys club sold 176 bags of mulch and made a total of $520.

Sold two types of mulch : hardwood for $3.50 a bag and pine bark for $2.75 a bag.

Let the number of hardwood mulch be x and the number of pine bark mulch be y then the total number of mulch will be:

[tex]x+y=176[/tex]

[tex]x = 176-y[/tex] --- (1)

And the total amount is given by the equation:

[tex]3.5x + 2.75y = 520[/tex] ---- (2)

Substitute the value of y in equation (2).

[tex]3.5(176-y)+2.75y=520[/tex]

[tex]616-3.5y+2.75y=520[/tex]

[tex]0.75y = 96[/tex]

y = 128

Now, put the value of y in equation (1).

x = 176 - 128

x = 48

So, the total number of hardwood mulch is 48 and pine bark mulch is 128.

For more information, refer the link given below:

https://brainly.com/question/21835898