Anna sells home-delivery products for 2 different companies. The first company pays her 10% commission, and the second company pays her 6% commission. Next month, she wants to earn $600. If she plans on monthly sales of $7600 in total from both companies, what amount must she sell for the company that pays 10% commission?

Answer: $3600

Step-by-step explanation:

Let x represent the monthly sales for the 10% commission job

Let y represent the monthly sales for the 6% commission job

Commission:.10x +.06y = 600

Monthly Sales: x + y = 7600

Use Elimination Method to solve the system of equations

100 (.10x +.06y = 600) - --> 10x + 6y = 60,000

-6 (x + y = 7600) - --> - 6x - 6y = - 45,600

4x = 14,400

x = 3600