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

Answer:

They washed 13 trucks.

Step-by-step 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 $x = 2y - 5$

$2y - 5 + y = 34$

$3y = 39$

$y = \frac{39}{3}$

$y = 13$

They washed 13 trucks.