Question

there are a total of 50 vehicles parked in the parking lot of a cinema hall .of this some are cars and the remaining on motorcycle .if the total number of wheels is 160 what is the number of motorcycles that are parked in the parking lot

Answer 1

let the no. of motorcycle be x & it's wheel=2x
then no. of car =50-x & it's wheel =4(50- x)
then A.T.Q
2x+4(50-x)=160
2x+200-4x=160
-2x=-40
x=20
no. of motorcycle =20
I hope my answers is right

Answer 2

Let the number of cars be x.

Number of bikes = 50-x

Since cars have 4 wheels so number of wheels of total cars = 4x (as x number of cars has 4 wheels so 4x)

Number of wheels of total bikes = 2(50-x) ( Since number of bikes is 50-x , number of wheels in each bike is 2 so total number of wheels is 2(50-x))

ATQ,

4x + 2(50-x) = 160

4x + 100 - 2x = 160

2x = 60

x = 30

Number of Cars = 30

Number of bikes = 50-30 = 20