Question

Carmen sells cars at a dealership that pays her a monthly salary of $2500 plus a

commission of $125 for every car she sells. A competing dealership has offered her a
job that pays a greater monthly salary of $2700, but only gives $100 commission on
each car sold. How many cars would Carmen have to sell in a month to get the same
pay from either dealership?

Answer 1

Carmen would have to sell 8 cars in a month to get the same pay from either dealership.

Explanation:

Let c = cars sold

Dealership #1 = 2500 + 125c

Dealership #2 = 2700 + 100c

2500 + 125c = 2700 + 100c

125c - 100c = 2700 - 2500

25c = 200

c = 8