It takes your company 6 labor hours to manufacture a simple hot tub and 9 labor hours to manufacture a deluxe hot tub. Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs. How many of each type of hot tub did you manufacture?
A) Simple 40, Deluxe 65
B) Simple 55, Deluxe 50
C) Simple 75, Deluxe 30
D) Simple 50, Deluxe 55
E) Simple 65, Deluxe 50

Question

Quizplus · Accepted Answer

Let's use S to represent the number of simple hot tubs and D to represent the number of deluxe hot tubs.

From the problem, we have two equations:

6S + 9D = 795 (total labor hours used)
S + D = 105 (total number of hot tubs)

We can use the second equation to solve for one of the variables in terms of the other:

S = 105 - D

Now we can substitute this into the first equation:

6(105 - D) + 9D = 795

630 - 6D + 9D = 795

3D = 165

D = 55

So we know that the company manufactured 55 deluxe hot tubs. We can use the second equation to find the number of simple hot tubs:

S + 55 = 105

S = 50

Therefore, the company manufactured 50 simple hot tubs and 55 deluxe hot tubs. The answer is D.

It Takes Your Company 6 Labor Hours to Manufacture a Simple