Question: In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/ motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is [CSAT 2015]
Options:
A) 35
B) 45
C) 50
D) 55
Show Answer
Answer:
Correct Answer: C
Solution:
- Let total number of cars be x,
And total number of scooters be y.
$ \therefore $ Total number of wheels $ =x\times 4+2\times y $
$ =4x+2y $
Total number of vehicle parked $ =x+y $
Now, $ 4x+2y=2,(x+y)+100 $
$ \Rightarrow $ $ 4x+2y=2x+2y+100 $
$ \Rightarrow $ $ 2x=100 $
$ \therefore $ $ x=50 $