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Nadya [2.5K]
3 years ago
12

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

ng 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.
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

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 x.

And the amount charged for vacuuming a car be y.

So, the total amount Trisha raised:

5x+4y=38........(1)

And, the total amount Byron raised:

4x+2y=28.

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

5x+4y=38\\4x+2y=28......\times 2

5x+4y=38\\8x+4y=56

-3x=-18

3x=18

<em>Dividing both sides by 3 we get:</em>

x=6.

<u>Amount charged to wash a car = $6.</u>

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

5(6)+4y=38.

5\times 6+4y=38

30+4y=38.

<em>Subtracting both sides by 30 we get:</em>

4y=8.

<em>Dividing both sides by 4 we get:</em>

y=2.

<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.

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