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A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were​ women? b. What fraction were​ men?

simplify each

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A) The fraction of the prize winners were​ women is
(12)/(577)

B) The fraction of the prize winners were​ men is
(565)/(577)

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


\text{Fraction women } = \frac{\text{Number of women}}{\text{Total men and women}}

Total men and women = 1154

Number of women = 24

Thus, we get,


\text{Fraction women } = (24)/(1154)\\\\\text{Reduce to lowest terms }\\\\\text{Fraction women } = (12)/(577)

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


\text{Fraction women } = \frac{\text{Number of men}}{\text{Total men and women}}

Total men and women = 1154

Number of men = 1130

Thus, we get,


\text{Fraction men } = (1130)/(1154)\\\\\text{Reduce to lowest terms }\\\\\text{Fraction men } = (565)/(577)

Thus the fractions are found

User Jimmy Stenke
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