Answer:
Number of cars = 3
Number of trucks = 5
Step-by-step explanation:
Let
Number of cars = x
Number of trucks = y
Total number of cars and trucks = 8
We can write the equation: [tex]x+y=8[/tex]
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: [tex]2x+y=11[/tex]
Now, Solving these equations, we can find value of x and y
[tex]x+y=8--eq(1)2x+y=11--eq(2)[/tex]
Subtracting both equations:
[tex]x+y=82x+y=11\\-\:\:\:-\:\:\:-\\--------\\-x=-3\\x=3[/tex]
So, we get x =3
Now, for finding value of y, put value of x in equation 1:
[tex]x+y=8\\3+y=8\\y=8-3\\y=5[/tex]
So, we get y=5
So,
Number of cars = x = 3
Number of trucks = y = 5
