If 540 beads are shared in the ratio 4:5, what is the larger share of beads?

• A. 240
• B. 300
• C. 220
• D. 450

Answer: (B)

To find the larger share of beads when 540 beads are shared in the ratio of 4:5, we first need to understand how to break down the total amount using the given ratio.

The ratio 4:5 indicates that for every 4 parts of beads, there are 5 parts of beads. To find the total number of parts combined in this ratio, we add the two parts together:

4 + 5 = 9 parts in total.

Next, we will determine the value of one part by dividing the total number of beads by the total number of parts:

540 beads ÷ 9 parts = 60 beads per part.

Now, to determine the larger share, which corresponds to the 5 parts of the ratio, we multiply the value of one part by 5:

60 beads/part × 5 parts = 300 beads.

Thus, the larger share of beads, according to the given ratio, is 300. This matches the provided answer, confirming its correctness in the context of the calculation and the understanding of ratios.