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?

Answer 1

Answer:

$2800

Step-by-step explanation:

let x represent the amount earned on the sale of a car

let y represent the amount earned on the sale of a truck

6x+3y=4800-eqn 1

8x+y=4600-eqn 2

Make y the subject of eqn 2

y=4600-8x

Plug y=4600-8x into eqn 1

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

6x+13800-24x=4800

13800-4800=18x

18x=9000

x=9000/18=500

Now plug the value of x into eqn 2

8(500)+y=4600

4000+y=4600

y=600

So the amount earned on the sale of a car is $500 and $600 on the sale of a truck

Therefore,if 2cars and 3trucks are sold then

2($500)+3($600)

$1000+$1800

=$2800