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?
1 answer:
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
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