Question

11. Pristine House Cleaners charges $40 plus $18 per room. Sparkle House Cleaners charges $64

plus $14 room. Write and solve an equation to find the number of rooms for which the total cost of
both house cleaners is the same.

Answer 1

6 rooms

Explanation:

Let x = price per room

y = total cost

Pristine charges $18 per room, so multiply x by 18 like this: 18x

They also add $40 on top of that to make up the total cost

y = 18x + 40

Sparkle charges $14 per room, so multiply x by 14 and add 64 for total cost

y = 14x + 64

To find out how many rooms they would need to clean for the same price, make them equal to each other

18x + 40 = 14x + 64

Move like terms together by subtracting 14x from both sides

18x + 40 = 14x + 64

- 14x - 14x

4x + 40 = 64

Subtract 40 from both sides

4x + 40 = 64

- 40 - 40

4x = 24

Then divide both sides by

4x/4 = 24/4

x = 6