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](https://tex.z-dn.net/?f=x%2B62%3D120%5C%5C%5C%5C%5CRightarrow%5C%20x%3D120-62%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%2058)
Hence, there are 58 bicycles and 62 tricycles in the shop.