Question

A high school choir had a car wash to raise money. The number of trucks washed was

5 fewer than twice the number of cars washed. If they washed a total of 34 trucks and
cars, how many trucks did they wash?
Please help

Answer 1

They washed 13 trucks.

Explanation:

This question is solved using a system of equations.

I am going to say that

x is the number of trucks washed

y is the number of cars washed.

The number of trucks washed was 5 fewer than twice the number of cars washed.

This means that
`x = 2y - 5`

They washed a total of 34 trucks and cars

This means that
`x + y = 34`

How many trucks did they wash?

This is y.

`x + y = 34`

Since
`x = 2y - 5`

`2y - 5 + y = 34`

`3y = 39`

`y = (39)/(3)`

`y = 13`

They washed 13 trucks.