Question

Problem

Toni and Nicky each earn a weekly salary
plus commission selling eyeglass frames.
Toni earns a weekly salary of $800 plus a
7%(800+0.07x) commission on her
weekly sales. Nicky earns a weekly salary
of $600 plus a 9%(600+0.09x)
commission on her weekly sales. How
much would their weekly(x) sales have to
be to result in Toni and Nicky earning the
same amount for the week?

Answer 1

Their weekly sales would have to be $10,000 before they can be earning the same amount for the week

Explanation:

If they are to be earning the same thing each week, it means whatever Toni is earning is what Nicky would be earning.

We proceed by equating their earnings so we would get x;

800 + 0.07x = 600 + 0.09x

Collect like terms

800-600 = 0.09x -0.07x

200 = 0.02x

x = 200/0.02

x = 10,000