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:

3 hours

Step-by-step explanation:

Let the number for hours afterward be represented as: x

The veteran tutor charges $15 for the first session plus $60 per hour afterward.

This is expressed as

$15 + $60 × x

15 + 60x

The new college graduate charges $45 for the first session plus $50 per hour afterward.

$45 + $50 × x

45 + 50x

The number of hours these two must tutor in order to earn the same amount of money is calculated as:

Veteran tutor = New college graduate tutor

15 + 60x = 45 + 50x

60x - 50x = 45 - 15

10x = 30

x = 30/10

x = 3 hours

Therefore, the number of hours these two must tutor in order to earn the same amount of money is 3 hours