Answer:
The amount they charged to wash a car is <u>$6</u> and vacuum a car is <u>$2</u>.
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:
<em>Dividing both sides by 3 we get:</em>
<u>Amount charged to wash a car = $6.</u>
Now, putting the value of in equation (1) we get:
<em>Subtracting both sides by 30 we get:</em>
<em>Dividing both sides by 4 we get:</em>
<u>Amount charged to vacuum a car = $2.</u>
Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.
