Candice works at an office and earns $13.50 per hour for the first 50 hours worked in a week and $20.25 per hour for any hours over 40. If she earns $661.50 one week, how many hours does she work? Show your work using a variable that represents the time, in hours, that Candice works over 40 hours.

Question

Mathematics

Manuel Brock

1 June, 08:11

Candice works at an office and earns $13.50 per hour for the first 50 hours worked in a week and $20.25 per hour for any hours over 40. If she earns $661.50 one week, how many hours does she work? Show your work using a variable that represents the time, in hours, that Candice works over 40 hours.

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Answers (1)

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Anastasia Evans · Answer 1

Answer: 6 hours

Step-by-step explanation:

First we need to write an equation to solve the problem.

(13.50 x 40) + 20.25x = $661.50

The first section represents her earnings for the first 40 hours, the second are the overtime hours, and it is set equal to her total earnings.

Now, to solve the equation:

540 + 20.25x = $661.50

Next, subtract 540 from both sides:

20.25x = 121.50

The last step is to divide both sides by 20.25

X = 6