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As there is one seat in each, the total number of bicycles and go-karts must be 21, ie B + G = 21

A Bicycle has 2 wheel, a go-Kart has 4, therefore 2B + 4G = 54

This gives two simultaneous equations to solve:

  1. B + G= 21
  2. 2B + 4G = 54
Doubling equation (1) and subtracting it from (2) gives:

2B - 2B + 4G - 2G = 54 - 42

→ 2G = 12

→ G = 6

Substituting back in to (1) gives:

B + 6 = 21

→ B = 15

There are 15 bicycles and 6 go-karts.

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There are 15 bicycles and 6 go-carts.

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Q: What is the answer to 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?
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