Ken and Lisa shared $280 in the ratio of 5:2. How much money did Ken receive?

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.

Learn how to calculate Ken's share when $280 is divided between Ken and Lisa in the ratio of 5:2. This step-by-step guide explains key concepts like ratios and proportions, suitable for students in Grades 6-8.

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