To solve this problem, we can use the ratio of men to women, which is given as 8:3.
Let's denote the number of men as \( 8x \) and the number of women as \( 3x \), where \( x \) is a common multiplier.
According to the problem, the number of men exceeds the number of women by 2345. This gives us the equation:
\[ 8x - 3x = 2345 \]
Simplifying the left side, we get:
\[ 5x = 2345 \]
Now, we can solve for \( x \):
\[ x = \frac{2345}{5} = 469 \]
Now that we have \( x \), we can find the number of women:
\[ \text{Number of women} = 3x = 3 \times 469 = 1407 \]
Therefore, the number of women at the match is \( \boxed{1407} \).
1 answer