Question

In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?
A) 110
B) 90
C) 100
D) 180

Answer 1

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Q:

In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?

A) 110B) 90C) 100D) 180

Answer:   B) 90 

Explanation:

Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'

Given total number of vehicles = 200
i.e, x + y = 200 ....(1)

Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)

By solving (1)&(2), we get

y = 90
=> x = 110

Therefore, number of two wheelers = 110
number of four wheelers = 90

Answer 2

Total number of the four wheeler vehicles in the parking lot=90

Step-by-step explanation:

Let x be the number of two wheeler  vehicles and y be the number of 4- wheeler vehicles

According to question

$x+y=200$...(1)

$2x+4y=580$...(2)

Using substitution method

$x=200-y$

Substitute the value of x in equation (2)

$2(200-y)+4y=580$

$400-2y+4y=580]$

$2y=580-400=180$

$y=\frac{180}{2}=90$

Hence, total number of the four wheeler vehicles in the parking lot=90

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