Final answer:
To determine the other partners' shares, the value of one part from the ratio 3:4:5 is calculated based on the smallest share of 36 bags, resulting in the second partner having 48 bags and the third partner having 60 bags.
Step-by-step explanation:
In this mathematics question, we need to find the other partners' shares when three partners share their goods in a ratio of 3:4:5 and the smallest share is 36 bags. To find the other shares, we will use the given ratio to determine the total number of parts in the partnership and then find the value of one part.
First, we add the parts of the ratio together: 3+4+5 = 12 parts. We know the smallest part (3 parts) is equal to 36 bags. To find the value of one part, we divide 36 bags by 3, which gives us 12 bags per part. Now we can calculate the remaining partners' shares:
- The second partner's share (4 parts) is 4 × 12 bags = 48 bags.
- The third partner's share (5 parts) is 5 × 12 bags = 60 bags.
Therefore, the three partners' shares are 36 bags, 48 bags, and 60 bags, respectively.