Question

Lucie is struggling with Geometry and is in need of a private tutor. She has two candidates in mind. The veteran tutor charges $15 for the first session plus $60 per hour afterward. The new college graduate charges $45 for the first session plus $50 per hour afterward. How many hours must these two tutor in order to earn the same amount of money?

Answer 1

2.33 hours

Explanation:

Given

Veteran Tutor

`Charges = \$15` --- first session

`Hourly\ Rate = \$60`

College Graduate

`Charges = \$45` --- first session

`Hourly\ Rate = \$50`

Required

Determine the number of hours they earn the same amount

Represent the hours with x

First, we need to calculate the total charges for the veteran tutor for x hours;

`Total = 15 + 60x`

Next, we need to calculate the total charges for the college graduate tutor for x hours;

`Total = 45x + 50`

For them to earn the same amount, we have:

`15 + 60x = 45x + 50`

Solving for x

`60x - 45x = 50 - 15`

`15x = 35`

Divide through by 15

`x = (35)/(15)`

`x = 2.33\ hours`