Question

On a certain French-American committee, 2/3 of the members are men, and 3/8 of the men are Americans. If 3/5 of the committee members are French, what fraction of the members are American women?

Answer 1

Answer:

3/20

Step-by-step explanation:

Number of American Men: (2/3)(3/8) = 1/4

Number of American Women: 1 - (3/5) - (1/4) = 3/20 of the members are American women.

Answer 2

The Fraction of American women in the committee is 3/20

Given the Parameter :

• Fraction of men = 2/3

Fraction of American men = 3/8 × Fraction of men

Hence, Fraction of American men = 3/8 × 2/3 = 6/24 = 1/4

Fraction of committee members that are French = 3/5

Fraction of members who are Americans = 1 - French

Hence, Fraction of Americans = 1 - 3/5 = 2/5

Fraction of American women can be calculated thus :

Fraction of Americans - Fraction of American men

2/5 - 1/4 = (8 - 5)/20 = 3/20

Therefore, Fraction of American women in the committee is 3/20

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