Final answer:
In a hive of 1400 bees with 1250 non-drones, the non-drone to drone ratio is 25:3. Using this ratio, for a hive with 750 drones, the number of non-drones would be 6250.
Step-by-step explanation:
The question asks us to determine how many non-drone bees would be present in a hive if there are 750 drones. In the first scenario, we know that in a hive of 1400 bees, there are 1250 non-drones. We can assume that the rest of the bees in this hive are drones, which is 1400 - 1250 = 150 drones. Therefore, the ratio of non-drones to drones in this hive is 1250:150, which simplifies to 25:3.
Now, applying this ratio to find the number of non-drones when there are 750 drones, we use a simple proportion:
Non-drones / 750 drones = 25 / 3
Multiplying both sides to find the number of non-drones gives us:
(Non-drones * 3) = (750 drones * 25)
Non-drones = (750 * 25) / 3
Non-drones = 6250 non-drone bees
So, if a hive has 750 drones, it would have 6250 non-droness.