Dakota Shilah works for Arizona Bath Company as a repairman. He earns $12. 00 for each fiberglass bathroom sink and $59 for each fiberglass tub enclosure he repairs. Last week he repaired a total of 23 items. Dakota’s pay for the week was $652. How many of each type of repair did he make?

Respuesta :

Solving a system of equations we can see that he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

How many of each type of repair did he make?

Let's define the two variables:

x = number of fiberglass bathrooms repaired.

y = number of fiberglass tub enclosures repaired.

Then we can write the system of equations:

x + y = 23

x*$12 + y*$59 = $652

Isolating x on the first one, we get:

x = 23 - y

Replacing that in the other equation:

(23 - y)*$12 + y*$59 = $652

23*$12 + y*($59 - $12) = $652

23*$12 + y*$47 = $652

y = ($652 - 23*$12)/$47 = 8

Then:

x = 23 - y = 23 - 8 = 15

So, he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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