In a pond there are some flowers with some bees hovering over the flowers. How many flowers and bees are there if both the following statements are true: 1. If each bee lands on a flower, one bee doesn't get a flower. 2. If two bees share each flower there is one flower left out.

Why this works

To solve this riddle, let's break down the two statements mathematically. 1. The first statement tells us that if each bee lands on a flower, one bee is left without a flower. This means the number of bees (B) is one more than the number of flowers (F), or B = F + 1. 2. The second statement indicates that if two bees share each flower, there is one flower that doesn't get any bees. This means the number of bees is two less than twice the number of flowers, or B = 2F - 2. Now, we can set these two equations equal to each other. From B = F + 1, we substitute into the second equation: F + 1 = 2F - 2. Solving for F gives us F = 3. Plugging this back into the first equation gives us B = 4. Thus, there are 4 bees and 3 flowers, perfectly satisfying both statements! This riddle cleverly uses basic algebra to create a scenario that requires logical reasoning to solve.