Question

Neil has total of 8 cars and trucks as toys. For his next birthday, he wants to double the number of cars he has. He will then have a total of 11 toy vehicles. How many of each type does he have now?

Answer 1

Number of cars = 3

Number of trucks = 5

Explanation:

Let

Number of cars = x

Number of trucks = y

Total number of cars and trucks = 8

We can write the equation:
`x+y=8`

For his next birthday, he want to double the cars.

The number of cars will be: 2x

Now, the total number of cars and trucks will be 11

Now equation will be:
`2x+y=11`

Now, Solving these equations, we can find value of x and y

`x+y=8--eq(1)2x+y=11--eq(2)`

Subtracting both equations:

`x+y=82x+y=11\\-\:\:\:-\:\:\:-\\--------\\-x=-3\\x=3`

So, we get x =3

Now, for finding value of y, put value of x in equation 1:

`x+y=8\\3+y=8\\y=8-3\\y=5`

So, we get y=5

So,

Number of cars = x = 3

Number of trucks = y = 5