Question

There are bicycles and go-carts in a different room of the shop. Each bicycle has only one seat and each go-cart has only one seat. There are a total of 21 seats and 54 wheels in the room. How many are bicycles and how many are go-carts

Answer 1

Therefore there are 15 bicycle and 6 go-cart.

Explanation:

Given that,

There are a total of 21 seat and 54 wheels in the room.

Assume that, there are x number of bicycle.

Since,each bicycle has only one seat and each go-cart has only one seat.

Then, the number of go-cart is (21-x)

There are two wheels in a bicycle.

Total number of wheel in x number of bicycle is = (2.x)=2x

There are four wheels in a go-cart.

Total number of wheel in (21-x) number of go-cart =4(21-x)

According to the problem,

2x+4(21-x)=54

⇒2x+84-4x=54

⇒2x-4x=54-84

⇒ -2x= -30

`\Rightarrow x=(-30)/(-2)`

⇒x = 15

Therefore there are 15 bicycle and (21- 15)=6 go-cart.