Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive.

Question

How much honey does Bert's new beehive hold?

Answer 1

To find out how much honey Bert's new, larger beehive can hold, we need to determine the ratio of frames to honey in the original beehive.

The original beehive holds 40 pounds of honey and has 6 frames. First, we calculate how many pounds of honey there are per frame:

\[ \text{Honey per frame} = \frac{40 \text{ pounds}}{6 \text{ frames}} \approx 6.67 \text{ pounds per frame} \]

Now, we can use this same ratio to find out how much honey the 30-frame beehive can hold. We multiply the number of frames by the honey per frame:

\[ \text{Honey in new beehive} = 30 \text{ frames} \times 6.67 \text{ pounds per frame} \approx 200 \text{ pounds} \]

Thus, Bert's new beehive holds approximately 200 pounds of honey.