kyc0319
Answered

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A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?

Sagot :

MrRoyal

Answer:

[tex]W = \frac{12}{17}[/tex] -- Women

[tex]M = \frac{5}{17}[/tex] --- Men

Step-by-step explanation:

Given

[tex]Men = 10[/tex] --- not 1010

[tex]Women = 24[/tex]

Solving (a) Fraction of Women

This is calculated as:

[tex]W = \frac{Women}{Men + Women}[/tex]

Substitute values for Women and Men

[tex]W = \frac{24}{10+24}[/tex]

[tex]W = \frac{24}{34}[/tex]

Simplify fraction

[tex]W = \frac{12}{17}[/tex]

Solving (b) Fraction of Men

This is calculated as:

[tex]M = \frac{Men}{Men + Women}[/tex]

Substitute values for Women and Men

[tex]M = \frac{10}{10+24}[/tex]

[tex]M = \frac{10}{34}[/tex]

Simplify fraction

[tex]M = \frac{5}{17}[/tex]

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