Question

a salesperson earns a commission based on the number and type of vehicle sold. a person selling 6 cars and trucks earns $4800. a person selling 8 cars and 1 truck earns $4600. how much does a salesperson earn for selling 2 cars and 3 trucks ?

Answer 1

4800 divide by 3=1600 (2 cars 1 truck) 

4600-1600=3000 (6 cars) 

3000 divide by 3=1000 (2 cars) 

1000×2=2000 (4 cars) 

4800-2000=2800 (2 cars 3 trucks) 

Answer 2

Answer

$2,800

Explanation

Let $x$ be the number of cars sold.

Let $y$ 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:

$8x+y=4600$ 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 $y$ in equation (2)

$8x+y=4600$

$y=4600-8x$ Equation (3)

2. Replace equation (3) in equation (1) and solve for $x$

$6x+3y=4800$

$6x+3(4600-8x)=4800$

$6x+13800-24x=4800$

$-18x=-9000$

$x=\frac{-9000}{-18}$

$x=500$ Equation (4)

3. Replace equation (4) in equation (3) to find $y$

$y=4600-8x$

$y=4600-8(500)$

$y=4600-4000$

$y=600$

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