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 $80,000. If he earns 6% commision on product A and 3% commision on product B, what where his gross sales for each product if he earned $4200 total in commision

Answer provided by our tutors

let


a = gross sales for product A


b = gross sales for product B


Last month his gross sales were $80,000:


a + b = 80,000


he earns 6% commision on product A and 3% commision on product B and and he earned $4200 total in commission:


0.06a + 0.03b = 4200


by solving the system of equations:


a + b = 80000


0.06a + 0.03b = 4200


we find:


a = $60,000


b = $20,000


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the gross sales for product A were $60,000.


the gross sales for product B were $20,000.