Question

Figure P is the image of a complete bicycle. If parts can be shared between two or more bicycles and flipping of Figure P is allowed, how many complete bicycles are there in Figure Q?

Hint:

For problems with shared components, determine the limiting factor (e.g., wheels, frames, etc.) to find the maximum number of complete structures.

Answer 1

Step 1: Count the number of shared components in Figure Q.
- Each bicycle consists of a frame, two wheels, and a set of pedals.
- In Figure Q, parts like wheels and frames are shared between multiple bicycles.
Step 2: Calculate the maximum number of bicycles.
- Total wheels in the structure: 32. Since each bicycle requires 2 wheels: \[ \text{Maximum bicycles from wheels} = \frac{32}{2} = 16. \] - Total frames in the structure: 16. Since each bicycle requires 1 frame, this matches the number from the wheels.
Step 3: Conclude the number of bicycles.
The number of complete bicycles that can be formed is: 16.