Problema Solution

mark works strictly on commission of his gross sales from selling two different products for his company. last month, his gross sales were $82,000. If he earns 5% commission on product a and 3% commision on prodct b, what were his gross sales for each product if he earned $3660 in total commission?

Answer provided by our tutors

let


x = gross sale of product a

y = gross sale of product b


the total gross sales was $82,000


x + y = 82000


5% commission on product a + 3% commission on product b = $3660 in total commission


0.05x + 0.03y = 3660


by solving the system of equations


x + y = 82000

0.05x + 0.03y = 3660


we find


x = $60,000


y = $22,000


the gross sales of product a is $60,000 and of product b is $22,000.