A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4 dollars comma 800 A person selling 8 cars and 1 truck earns 4 dollars comma 600 How much does a salesperson earn for selling 2 cars and 3 trucks?

Let c be the commission for a car and t the commission for a truck. The sales totals give 6c + 3t = 4,800 and 8c + t = 4,600. Dividing the first equation by 3 gives 2c + t = 1,600; subtracting this from the second equation gives 6c = 3,000, so c = 500 and t = 600. For 2 cars and 3 trucks, the commission is 2(500) + 3(600) = 2,800, so the answer is C, 2 dollars comma 800.

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