# Bees and Flowers in a Pond

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.

### 4 guesses to Bees and Flowers in a Pond

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• Matt

3 Flowers, 4 Bees

1st Scenario (1 bee per flower)
F – B
F – B
F – B
No – B

2nd Scenario (2 bees per flower)
F – BB
F – BB
F – No

• brent

Yes, I get the same number as Matt. I used the following math:
1) F = B – 1
2) F = B/2 + 1
Equating these two:
B – 1 = B/2 + 1 (Multiply each side by 2)
2B – 2 = B + 2 (subtract B from each side)
B – 2 = 2 (add 2 to each side)
B = 4
Plug into 1) above
F = 4 – 1
F = 3
Double-check with 2) above
F = 4/2 + 1
F = 3

So Bees = 4 and Flowers = 3.

• Margot

4 bees, 3 flowers

• Brent, you are today’s winner!
4 bees and 3 flowers.