Middle School

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Julie works two part-time jobs for a total of 37 hours a week. Job A pays $6.50 per hour, and Job B pays $7.40 per hour. How many hours did she work at each job the week she made $255.80?

Answer :

She worked 20 hours in job A and 17 hours in Job B

Step-by-step explanation:

The given is:

Julie works two part-time jobs for a total of 37 hours a week

Job A pays $6.50 per hour, and Job B pays $7.40 per hour

She made $255.8 in this week

Assume that she worked x hours in job A and y hours in job B

∵ She worked x hours in job A

∵ She worked y hours in job B

∵ She worked a total of 37 hours in this week

∴ x + y = 37 ⇒ (1)

∵ Job A pays $6.5 per hour

∵ Job B pays $7.4 per hour

∵ She made $255.8 in this week

∴ 6.5x + 7.4y = 255.8 ⇒ (2)

Multiply equation (1) by -7.4 to eliminate y

∴ -7.4x - 7.4y = -273.8 ⇒ (3)

- Add equations (2) and (3)

∴ -0.9x = -18

- Divide both sides by -0.9

∴ x = 20

Substitute x by 20 in equation (1) to find y

∵ 20 + y = 37

- Subtract 20 from both sides

∴ y = 17

She worked 20 hours in job A and 17 hours in Job B

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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