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 Woman?
Created: 6 years ago |
Updated: 1 month ago
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- 2/3 of the committee members are men.
- 3/8 of the men are Americans.
- 3/5 of the committee members are French.
From the first point, if 2/3 of the members are men, then 1/3 must be women.
Now, let's find out what fraction of the committee members are American men:
- Out of the 2/3 of the members who are men, 3/8 are American. So, the fraction of American men is 2/3×3/8=1/4.
Now, let's find out what fraction of the committee members are French men:
- Since 3/5 of the committee members are French and 2/3 of them are men, the fraction of French men is 3/5×2/3=2/
Now, let's find out the fraction of American women:
- We know that 1/3 of the committee members are women. Out of these women, the fraction who are American is the remaining fraction after we subtract the fraction of American men (1/4) and French men (2/5) from 1/3.
1/3−1/4−2/5=20/60−15/60−24/60=21/60
So, the fraction of American women is 21/60= 7/20.
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