Question
16. In a seminar, the ratio of men to women is \( 5: 9 \). If there are 56 people in the seminar, how many are women? A. (0) 4 B. (O) 7 C. (O) 20 D. (O) 26 E. (O) 36
Ask by Valdez Mcguire. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
There are 36 women in the seminar.
Solution
To determine the number of women in the seminar, let's analyze the given information:
1. **Ratio of Men to Women:** \( 5:9 \)
2. **Total Number of People:** \( 56 \)
Let:
- Number of men = \( 5k \)
- Number of women = \( 9k \)
According to the ratio:
\[
5k + 9k = 14k = 56
\]
\[
k = \frac{56}{14} = 4
\]
Now, calculate the number of women:
\[
\text{Number of women} = 9k = 9 \times 4 = 36
\]
**Answer:**
**E. 36**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the problem, we first find the total parts of the ratio. The ratio of men to women is \(5:9\), so the total parts is \(5 + 9 = 14\). Now, if there are 56 people in total, we can calculate how many people each part represents by dividing 56 by 14: \[ \text{People per part} = \frac{56}{14} = 4. \] Since there are 9 parts for women, the number of women in the seminar is: \[ \text{Number of women} = 9 \times 4 = 36. \] So the answer is E. (O) 36.
