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Makovka662 [10]
3 years ago
7

Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the

expression 75 + 50x, where x is the amount of hours they spend cleaning. Another cleaning company's cost can be calculated using the expression 50 + 75x. Susan wants to know how long each company will have to clean to cost the same amount. Group of answer choices 1 hour 2 hours the will never equal the same 7.5 hours
Mathematics
1 answer:
kirill [66]3 years ago
3 0

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

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