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 ?

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 ? Correct Answer 90

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

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

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

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

y = 90=> x = 110

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

Related Questions

In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. In a parking lot, total 175 vehicles are parked, in which some are two wheelers and some are four wheelers. Find the number of two wheelers. Statement I∶ The parking fee of a two wheeler is Rs. 20 and that of a four wheeler is Rs. 35. Statement II∶ Total number of wheels when counted is 520. Statement III∶ Total parking fee collected is Rs. 4775.