Question

(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?

Answer 1

12 hours

Explanation:

So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:

5h + 50

to represent how much Jim makes in h hours.

Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:

8h + 14

to represent how much Sarah makes in h hours.

Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:

8h + 14 = 5h + 50

Now solve for h. Subtract 5h from both sides.

3h + 14 = 50

Subtract 14 from both sides.

3h = 36

Divide both sides by 3.

h = 12

So it will take 12 hours for their paychecks to be the same.

I hope you find my answer and explanation to be helpful. Happy studying.