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

Answer:

2.33 hours

Step-by-step 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

$x = \frac{35}{15}$

$x = 2.33\ hours$