Question

7) If a parking lot, there were many cars and motor cycles parked. The number of motor cycle were double that of the cars. It has been noticed that there are 296 wheels in all the vehicels together. How many cars and how many motor cycle were there?

Answer 1

Let the number of cars be 'x' and the number of motorcycles be 'y'.

Given,
y = 2x
4x + 2y = 296
⇒ 2x + y = 148
⇒4x = 148
⇒ x = 37
∴ y = 2 × 37 = 74

Thus, there were 37 cars and 74 motorcycles.

Answer 2

Let the number of cars be x and motorcycles be y
Given y=2x
Number of wheels for x cars is 4x
Number of wheels for y motorcycles is 2y
Also given 4x+2y=296
But y =2x
4x+4x=296
x=37
Therefore number of cars are 37 and number of bikes are 74