Question

The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car. The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car. Malik finds that when he gets his car serviced at either shop, he pays the same amount of money. How many hours does Malik's car need to be serviced?

Answer 1

Answer:

3 hours

Step-by-step explanation:

Let's express number of hours required for servicing as: x

The auto repair on First Street charges a flat fee of $15 plus $10 an hour for servicing a car.

This is expressed mathematically as:

$15 + $10 × x

= 15 + 10x

The auto repair shop on Second Avenue charges no flat fee but $15 an hour for servicing a car

This is expressed as:

$15 × x

= 15x

The number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at both shops is calculated as:

Charges by Auto repair shop on First street = Charges by Auto repair shop on Second Avenue

15 + 10x = 15x

15 = 15x - 10x

15 = 5x

5x = 15

x = 15/5

x = 3 hours

Therefore, the number of hours Malik's car needs to be serviced in order to be able to pay the same amount of money at either auto repair shops is 3 hours