Answer:
12 hours
Step-by-step 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.
