In a marriage party 32% are women,54% are men and there are 196 children.How many men are there in the marriage party?

Options

A. 756
B. 448
C. 332
D. 324

Answer

To solve the problem step by step, we can follow these calculations:

1. **Understand the percentages**:
- Women = 32%
- Men = 54%
- Children = 196 (which is 14% of the total)

2. **Calculate the total percentage of women and men**:
\[ \text{Total percentage of women and men} = 32\% + 54\% = 86\% \]

3. **Determine the percentage of children**:
\[ \text{Percentage of children} = 100\% - 86\% = 14\% \]

4. **Set up the equation to find the total number of people at the party**:
- Let \( T \) be the total number of people at the marriage party.
- Since 14% of the total is equal to the number of children (196), we can write:
\[ 0.14T = 196 \]

5. **Solve for \( T \)**:
\[ T = \frac{196}{0.14} = 1400 \]

6. **Calculate the number of men**:
- Since men constitute 54% of the total, we can find the number of men as follows:
\[ \text{Number of men} = 0.54 \times T = 0.54 \times 1400 \]
\[ \text{Number of men} = 756 \]

Thus, the number of men in the marriage party is **756**.