In an opinion poll of 50 men and 40 women 70% of the men and 25% of the women said that they preferred fiction of nonfriction books. What percent of the number of people polled preferred to read fiction?

Options

A. `40%`
B. `45%`
C. `50%`
D. `60%`

Answer

To solve the problem step by step, follow these instructions:

**Step 1: Determine the total number of people polled.**
- The total number of men is 50 and the total number of women is 40.
- Total number of people = Number of men + Number of women = 50 + 40 = 90.

**Step 2: Calculate the number of men who preferred fiction.**
- According to the problem, 70% of the men preferred fiction.
- Number of men preferring fiction = 70% of 50 = (70/100) * 50 = 35 men.

**Step 3: Calculate the number of women who preferred fiction.**
- According to the problem, 25% of the women preferred fiction.
- Number of women preferring fiction = 25% of 40 = (25/100) * 40 = 10 women.

**Step 4: Find the total number of people who preferred fiction.**
- Total number of people preferring fiction = Number of men preferring fiction + Number of women preferring fiction = 35 + 10 = 45.

**Step 5: Calculate the percentage of people who preferred fiction.**
- To find the percentage of people who preferred fiction, use the formula:
\[ \text{Percentage} = \left( \frac{\text{Number of people preferring fiction}}{\text{Total number of people}} \right) \times 100 \]
- Substituting the values:
\[ \text{Percentage} = \left( \frac{45}{90} \right) \times 100 = 50\% \]

Thus, the percentage of the number of people polled who preferred to read fiction is **50%**.

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