A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. 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; simplifying the first gives 2c + t = 1,600, so subtracting it from the second gives 6c = 3,000 and c = $500. Then t = $600, so 2 cars and 3 trucks earn 2($500) + 3($600) = $2,800, choice C.

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