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Jerry gets price quotes from two different pool cleaning services for the cost of cleaning the pool. Company A charges $7 plus an additional $3 per hour. Company B charges $10 plus an additional $2 per hour. The total price quote for each company is the same amount. How many hours do the companies estimate it will take to clean the pool?

Respuesta :

samuelonum1

Answer:

3 hours

Step-by-step explanation:

Step one:

given data

price quotes from Company A

charges= $7

additional charges per hour= $3

let the number of hours be x

and the total be y

the linear function for the total is

y=3x+7

price quotes from Company B

charges= $10

additional charges per hour= $2

let the number of hours be x

and the total be y

the linear function for the total is

y=2x+10

if the total quote is the same , then

3x+7=2x+10

solve for x, collect like terms

3x-2x=10-7

x=3 hours

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