SOLUTION: Chloe has been offered positions by two car dealers. The first company pays a salary of $19,000 plus a commission of $500 for each car sold. The second pays a salary of $14,000 plu

Question 1190862: Chloe has been offered positions by two car dealers. The first company pays a salary of $19,000 plus a commission of $500 for each car sold. The second pays a salary of $14,000 plus a commission of $700 for each car sold. How many cars would need to be sold to make the total pay the same?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
equation for first company:
y = 19000 + 500 * x
equation for second company:
y = 14000 + 700 * x
y is the total compensation.
x is the number of cars sold.
the compensation is equal when the first equation is equal to the second.
you get:
19000 + 500 * x = 14000 + 700 * x
subtract 14000 from both sides and subtract 500 from both sides to get:
5000 = 200 * x
solve for x to get:
x = 5000 / 200 = 25
the compensation will be the same when 25 cars are sold.
19000 + 500 * 25 = 31500
14000 + 700 * 25 = 31500

RELATED QUESTIONS
The sum of two numbers is 32. One number is 10 less than the other. Find the numbers.... (answered by MathLover1)

Translate to a system of equations and solve. Maxim has been offered positions by two... (answered by Boreal)

Chris is comparing two sales positions that he has been offered. The first pays a (answered by josmiceli)

(1 pt) You are offered two different sales jobs. The first company offers a straight... (answered by checkley77)

You are offered two different sales jobs. The first company offers a straight commission... (answered by TimothyLamb)

You are offered two different sales jobs. The first company offers a straight commission... (answered by richwmiller)

You are offered two different sales jobs. The first company offers a straight commission... (answered by rfer)

You are offered two different sales jobs. The first company offers a straight commission... (answered by MathLover1)

You are offered two different sales jobs. The first company offers a straight commission... (answered by josgarithmetic)