Check sibling questions

There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels together, how many cars are there?

(a) 8   (b) 10   (c) 12   (d) 20

Slide61.jpeg

Slide62.jpeg

This video is only available for Teachoo black users

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

Question 34 There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels together, how many cars are there? (a) 8 (b) 10 (c) 12 (d) 20 Let Number of cars = x Number of motorcycles = y Given that Total number of cars and motorcycles are 20 x + y = 20 Also, Total wheels are 56 4 × Number of cars + 2 × Number of motorcycles = 56 4x + 2y = 56 Dividing by 2 both sides 2x + y = 28 Subtracting (1) and (2) (x + y) − (2x + y) = 20 − 28 x + y − 2x − y = −8 −x = −8 x = 8 ∴ Number of cars = x = 8 So, the correct answer is (a)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.