There were 28 people at last week’s board
meeting. If the ratio of men to women was
4:3, how many women were at the meeting?

To solve the problem, we start by using the ratio of men to women, which is given as 4:3.

Let the number of men be \( 4x \) and the number of women be \( 3x \).

Since the total number of people at the meeting is 28, we can write the equation:

\[
4x + 3x = 28
\]

Simplifying this:

\[
7x = 28
\]

Now, solve for \( x \):

\[
x = \frac{28}{7} = 4
\]

Now that we have \( x = 4 \), we can find the number of women:

\[
\text{Number of women} = 3x = 3(4) = 12
\]

So, there were **12 women** at the meeting.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. If there were 35 people at the meeting with the same ratio, how many women would be present?
2. If the ratio of men to women was 5:4 instead, how many women would there be out of 36 people?
3. What would be the number of men if there were 21 people and the ratio of men to women remained 4:3?
4. How does the ratio change if there were 14 men and 14 women at the meeting?
5. If the ratio of men to women was 2:3 and there were 30 people, how many women would be there?

**Tip:** When dealing with ratios, always remember that the sum of the ratio parts represents the whole divided into those parts.

Learn how to solve a ratio problem involving men and women at a meeting with 28 participants. This problem requires understanding ratios and basic arithmetic. Suitable for students in Grades 6-8.

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