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 A
venue 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?
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
