Suppose that 70% of the male graduates in 2018 from university GER got married by 2022. In addition, 5000 of all 6250 graduates in 2018 from university GER got married by 2022. The percentage of female graduates in 2018 from university GER who got married by 2022 is
Group of answer choices

between 70% and 80%.

impossible to determine from the information given.

higher than 80%.

lower than 70%.

To solve this problem, let's analyze the information given:

- 70% of the male graduates from 2018 got married by 2022.
- There were 6250 graduates in total in 2018.
- 5000 of the 6250 graduates got married by 2022.

Let:
- \( M \) be the number of male graduates in 2018.
- \( F \) be the number of female graduates in 2018.
- \( M_m \) be the number of male graduates who got married by 2022.
- \( F_m \) be the number of female graduates who got married by 2022.

We know:
- \( M_m = 0.7M \) (since 70% of the male graduates got married).
- The total number of graduates who got married: \( M_m + F_m = 5000 \).
- The total number of graduates: \( M + F = 6250 \).

To find the percentage of female graduates who got married by 2022, we follow these steps:

1. **Express \( F_m \) in terms of \( M \):**

   \[
   F_m = 5000 - M_m = 5000 - 0.7M
   \]

2. **Express \( F \) in terms of \( M \):**

   \[
   F = 6250 - M
   \]

3. **Percentage of female graduates who got married:**

   \[
   \text{Percentage of female graduates who got married} = \frac{F_m}{F} \times 100 = \frac{5000 - 0.7M}{6250 - M} \times 100
   \]

To determine this percentage, we need to find the value of \( M \). Since the exact number of male graduates \( M \) is not provided, let's examine the possible ranges.

However, we do know that:

- \( M \) cannot exceed 6250.
- For reasonable values of \( M \), the value of \( \frac{5000 - 0.7M}{6250 - M} \) would need to be evaluated.

Let's evaluate the possibilities:

### Key Insight:
- If \( M \) is very large (closer to 6250), \( F_m \) becomes smaller, potentially lowering the percentage.
- If \( M \) is smaller, the percentage might increase.

But given that 70% of males got married and 5000 total graduates got married, we would typically expect the percentage of female graduates who got married to be lower than the male percentage, but determining the exact range from the information given would be challenging without knowing the exact number of male and female graduates.

### Conclusion:
The correct choice based on the analysis should be:

**impossible to determine from the information given**.

This is because we need the specific number of male graduates to determine the percentage accurately.

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Would you like more details or have any questions? Here are five related questions:

1. How would the calculation change if the number of male graduates was known?
2. What if the percentage of females who got married was given instead?
3. How can you calculate the percentage directly if the ratio of males to females was provided?
4. What happens if the total number of graduates who got married was different?
5. How would additional data points, like the total number of married females, change the problem?

**Tip:** When solving percentage problems with unknown variables, it's often helpful to express all quantities in terms of one variable and see how the results change with different assumptions.

Learn how to calculate the percentage of female graduates from University GER who got married by 2022 using given data. Understand the application of percentage formulas and algebraic expressions in problem-solving. Suitable for high school students.

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