Answered

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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Noah is a plumber, and his coworker Hassan is an electrician. Noah charges customers a fee of $102 just to come to their houses and then $1 per minute that he is there. Hassan also charges a fee of $54 for a home visit, plus an additional $2 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much did each one earn? How much time did each one spend working?


Noah and Hassan each earned $___by working for ____minutes.

PLZ ANSWER QUICK

Sagot :

Answer:

They both worked for 48 minutes and made $150.

Step-by-step explanation:

Create an equation for both workers:

Noah: y = x+102

Hassan: y = 2x+54

Since they are the same, set the equations equal to each other:

x+102 = 2x+54

 -54           -54

x+48 = 2x

-1x        -1x

x = 48 minutes

Solve for how much they made by using x.

y = (48)+102

y = $150

y = 2(48)+54

y = $150

*you don't have to do it for both but it is good to check that so you know if you did everything right*

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