Zach has two jobs: working at a local grocery store and tutoring at his school. Zach earns $11 an hour working at the grocery store and $18 an hour while tutoring.

During one week, Zach worked a total of 26 hours and earned $384. How many hours did Zach work at the grocery store, and how many hours did he tutor?

Question

High School

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Answer :

afreenmajid123 afreenmajid123 · Answer 1 · 2024-11-25T19:50:01-05:00

Zach worked 12 hours at the grocery store and 14 hours tutoring during the week.

To find out how many hours Zach worked at the grocery store and how many hours he tutored during the week, we can set up a system of equations.

Let's denote the number of hours Zach worked at the grocery store as 'x' and the number of hours he tutored as 'y'.

We can use the given information to set up the following equations:

x + y = 26

11x + 18y = 384

We can solve this system of equations using either substitution or elimination method. Let's use the elimination method to solve the system:

Multiplying the first equation by 11 gives us:

11x + 11y = 286

Subtracting the second equation from the first equation gives us:

11x + 11y - 11x - 18y = 286 - 384

-7y = -98

Dividing both sides of the equation by -7 gives us:

y = 14

Substituting this value of y in the first equation gives us:

x + 14 = 26

x = 12

Therefore, Zach worked 12 hours at the grocery store and 14 hours tutoring during the week.