Your school is planning a trip to the zoo. Bus company A has a rental fee of $35 and each student costs $5. Bus company has a rental fee of $95 plus $3 for each student. How many students will need to go in order for the bus to cost the same from both companies?

Question

Mathematics

Jessica Mercer

12 February, 08:06

Your school is planning a trip to the zoo. Bus company A has a rental fee of $35 and each student costs $5. Bus company has a rental fee of $95 plus $3 for each student. How many students will need to go in order for the bus to cost the same from both companies?

+5

Answers (1)

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Alyssa Guzman · Answer 1

30 students

Step-by-step explanation:

We can set up both buses in an equation.

Bus company A would be:

y=5x+35

and Bus company B would be:

y=3x+95

We're looking to break even, so, they'll have to equal each other.

5x+35=3x+95

We'll remove 3x from both sides.

2x+35=95

Then we'll remove 35 from both sides.

2x=60

We'll divide both sides of the equation by 2.

x=30

At 30 students, both buses would cost the same.