Question

There are a total of 120 bicycles and tricycles in a shop. There are 302 wheels in allmany bicycles and how many tricycles are in the shop?

Answer 1

Answer: There are  62 tricycles in the shop.

Step-by-step explanation:

Given: Number of wheels in a bicycle = 2

Number of wheels in a tricycle = 3

Let x = Number of bicycles , y = Number of tricycles.

As per given , we have

x+y =120       (i)

2x+3y=302       (ii)

Multiplying 2 on both sides of (i)

2x+2y=240      (iii)

Subtract (iii) from (ii) , we get

y= 62

Put value of y in (i) , we get

$x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58$

Hence, there are 58 bicycles and 62 tricycles in the shop.