Soren has two jobs. During the day, he works as an office clerk, and in the evening he works as a cashier. His office job pays him$11 per hour, and his cashier job pays him $8.75 per hour. In one week Soren worked 46 hours, and earned a total of $470 ... How many hours did he work in each job.

Question

Mathematics

Kiley Chang

26 July, 10:09

Soren has two jobs. During the day, he works as an office clerk, and in the evening he works as a cashier. His office job pays him$11 per hour, and his cashier job pays him $8.75 per hour. In one week Soren worked 46 hours, and earned a total of $470 ... How many hours did he work in each job.

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Answers (1)

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Ladybug · Answer 1

Office clerk - 30 hours

Cashier - 16 hours

Step-by-step explanation:

We are given that Soren's office job pays him $11 per hour while his cashier job pays him $8.75 per hour.

If he has worked for a total of 46 hours and earned $470, we have to find the number of hours he worked in each job.

Assuming x represent the number of hours that Soren works as an office clerk, we can write the following equation:

11x + 8.75 (46 - x) = 470

11x + 402.5 - 8.75x = 470

11x - 8.75x = 470 - 402.5

2.25x = 67.5

x = 67.5/2.25

x = 30

Number of hours Soren worked as office clerk = 30 hours

Number of hours Soren worked as a cashier = 46 - 30 = 16 hours