Question

Amara currently sells televisions for company A at a salary of $8000 plus a $90 commission for each television she sells. Company B offers her a position with a salary of $8800 plus a $50 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?

Answer 1

Let

y ----> total salary

x ----> number of television she sells

we have that

Company A

y=90x+8,000 -----> equation 1

Company B

y=50x+8,800 ----> equation 2

Equate both equations

90x+8,000=50x+8,800

solve for x

90x-50x=8,800-8,000

40x=800

x=800/40

x=20

the answer is 20 televisions