A) The fraction of the prize winners were women is [tex]\frac{12}{577}[/tex]
B) The fraction of the prize winners were men is [tex]\frac{565}{577}[/tex]
Solution:
Given that, A prize was awarded to 24 women and 1130 men
Therefore, Women + men = 24 + 1130 = 1154
A) What fraction of the prize winners were women?
The fraction of the prize winners were women is found by dividing the total women by total men and women
[tex]\text{Fraction women } = \frac{\text{Number of women}}{\text{Total men and women}}[/tex]
Total men and women = 1154
Number of women = 24
Thus, we get,
[tex]\text{Fraction women } = \frac{24}{1154}\\\\\text{Reduce to lowest terms }\\\\\text{Fraction women } = \frac{12}{577}[/tex]
b.) What fraction were men?
The fraction of the prize winners were men is found by dividing the total men by total men and women
[tex]\text{Fraction women } = \frac{\text{Number of men}}{\text{Total men and women}}[/tex]
Total men and women = 1154
Number of men = 1130
Thus, we get,
[tex]\text{Fraction men } = \frac{1130}{1154}\\\\\text{Reduce to lowest terms }\\\\\text{Fraction men } = \frac{565}{577}[/tex]
Thus the fractions are found
