Trisha and byron are washing and vacuuming cars to raise money for a class trip. trisha raised $38 washington 5 cars and vacuuming 4 cars. byron raises $28 by washing 4 cars and vacuuming 2 cars. find the amount they charged to wash a car and vacuum a car.

The amount they charged to wash a car is $6 and vacuum a car is $2.

Step-by-step explanation:

Given:

Trisha and Byron are washing and vacuuming cars to raise money for a class trip.

Trisha raised $38 washington 5 cars and vacuuming 4 cars.

Byron raises $28 by washing 4 cars and vacuuming 2 cars.

Now, to find the amount they charged to wash a car and vacuum a car.

Let the amount charged for washing a car be

And the amount charged for vacuuming a car be

So, the total amount Trisha raised:

.......(1)

And, the total amount Byron raised:

Now, to get the amount they charged to wash a car and vacuum a car we use elimination method:

Dividing both sides by 3 we get:

Amount charged to wash a car = $6.

Now, putting the value of in equation (1) we get:

Subtracting both sides by 30 we get:

Dividing both sides by 4 we get:

Amount charged to vacuum a car = $2.

Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.