Question

7. Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
the number of trucks. If he has a total of 43 cars and trucks, how many trucks does Ray have?

Answer 1

Answer: Ray has 17 trucks .

Step-by-step explanation:

Let x = number of cars

y = number of trucks

As per given

x+y= 43    (i)

2y-8=x    (ii)

We can rewrite (ii) as

x-2y= -8      (iii)

Subtracting (iii) from  (i), we get

y- (-2y)= 43- (-8)

⇒ y+2y= 43+8

⇒ 3y=51

Divide both sides by 3

⇒ y = 17

Now, put this in (ii), we get

x= 2(17)-8=34-8 =26

Hence, Ray has 17 trucks and 26 cars.