To determine how much money Ken received, we can break down the $280 according to the ratio of 5:2 (Ken:Lisa).

Step-by-step solution:

1. Sum of the ratio parts: The total number of parts in the ratio is $5 + 2 = 7$ parts.

2. Value of each part: To find the value of each part, divide the total amount of $280 by the total number of parts: $\text{Value of one part} = \frac{280}{7} = 40$

3. Ken's share: Ken's share is 5 parts, so: $\text{Ken's share} = 5 \times 40 = 200$

Thus, Ken received $200.

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

Here are 5 related questions to expand your understanding:

1. How much money did Lisa receive?
2. What if the total amount was $350 instead of $280? How much would Ken get?
3. How would the distribution change if the ratio was 3:2 instead of 5:2?
4. What is the fraction of the total amount that Ken received?
5. How do you convert a ratio into percentages?

Tip: When dividing amounts using ratios, always remember that the sum of the ratio parts represents the total and each part is proportional to the final amount.