Efrem worked 40 hours at his two jobs last week. He earned $20 per hour at his weekday job and $18 per hour at his weekend job. He earned $770 in total. How many hours did he work at each job?

Question

Apexia Apexia

23-07-2024
Mathematics

Middle School

Efrem worked 40 hours at his two jobs last week. He earned $20 per hour at his weekday job and $18 per hour at his weekend job. He earned $770 in total. How many hours did he work at each job?

Answer :

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Qwseed Qwseed · Answer 1 · 2023-09-14T09:28:01-04:00

Final answer:

Efrem worked 25 hours at his weekday job and 15 hours at his weekend job.

Explanation:

To find how many hours Efrem worked at each job, we can set up a system of equations based on the given information.

Let x represent the number of hours Efrem worked at his weekday job, and y represent the number of hours he worked at his weekend job.

We know that x + y = 40, since Efrem worked a total of 40 hours, and that 20x + 18y = 770, since he earned a total of $770.

Solving these equations simultaneously, we can find the values of x and y. Multiplying the first equation by 18, we get 18x + 18y = 720. Subtracting this equation from the second equation, we have 20x + 18y - 18x - 18y = 770 - 720, which simplifies to 2x = 50. Dividing both sides by 2, we find that x = 25. Substituting this value into the first equation, we can solve for y: 25 + y = 40, y = 15.

Therefore, Efrem worked 25 hours at his weekday job and 15 hours at his weekend job.

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