Answer
$2,800
Explanation
Let @@MATH_TOKEN_0@@ be the number of cars sold.
Let @@MATH_TOKEN_1@@ be the number of trucks sold.
We know that a person selling 6 cars and 3 trucks earns $4,800, so:
\(6x+3y=4800\) Equation (1)
We also know that a person selling 8 cars and 1 truck earns $4,600, so:
@@MATH_TOKEN_3@@ Equation (2)
Now, lets solve our system of equations (1) and (2) to find a much a person makes per car and truck sold
1. Solve for @@MATH_TOKEN_4@@ in equation (2)
@@MATH_TOKEN_5@@
@@MATH_TOKEN_6@@ Equation (3)
2. Replace equation (3) in equation (1) and solve for @@MATH_TOKEN_7@@
@@MATH_TOKEN_8@@
@@MATH_TOKEN_9@@
@@MATH_TOKEN_10@@
@@MATH_TOKEN_11@@
@@MATH_TOKEN_12@@
@@MATH_TOKEN_13@@ Equation (4)
3. Replace equation (4) in equation (3) to find @@MATH_TOKEN_14@@
@@MATH_TOKEN_15@@
@@MATH_TOKEN_16@@
@@MATH_TOKEN_17@@
@@MATH_TOKEN_18@@
Now we know that a person makes $500 per card sold and $600 per truck sold.
Commission earned by a person who sell 2 cars and 3 trucks:
2($500) + 3($600) = $1,000 + $1,800 = $2,800
