Question

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?

$2,500
$2,700
$2,800
$3,000

Answer 1

Let c = commission per car and t = commission per truck.

6c + 3t = 4800 → divide by 3 → 2c + t = 1600
8c + t = 4600

Subtract: 6c = 3000 → c = 500. Then t = 1600 − 2(500) = 600.

Earnings for 2 cars and 3 trucks: 2(500) + 3(600) = 1000 + 1800 = $2,800.

Answer: $2,800.