Question

The Wheel Shop sells other kinds of vehicles. 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 that room. How many are bicycles and how many are go-carts? Explain how you figured it out.

Answer 1

Answer:

15 bicycle and 6 go-cart.

Step-by-step explanation:

Given that,  

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

Assume 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=\frac{-30}{-2}

⇒x = 15  

Hence, there are 15 bicycle and (21- 15)=6 go-cart