The ratio of the amounts Mary, Bob, and Lee received is given as 3:2:5. We are told that Lee got $200. Since Lee's part corresponds to 5 parts in the ratio, we can calculate the value of 1 part and then find the total amount.

1. Lee's share corresponds to 5 parts, and Lee received $200. So, the value of 1 part = $\frac{200}{5} = 40$.

2. The total number of parts is 3 (for Mary) + 2 (for Bob) + 5 (for Lee) = 10 parts.

3. The total sum of cash shared = 10 parts × $40 = $400.

Statement:

The total sum of cash that was shared among Mary, Bob, and Lee is $400.

Would you like more details on this, or do you have any further questions?

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Here are 5 related questions to deepen your understanding:

1. What would Mary’s share be from the total amount?
2. How much more did Lee receive compared to Bob?
3. What is the percentage of the total cash that Lee received?
4. If the ratio was changed to 4:3:6, how much would Lee get if the total amount was $400?
5. How can you express Bob’s share as a fraction of the total sum?

Tip: Ratios can be simplified or scaled, but they always maintain the same proportional relationships.