In a fundraising committee of 45 people, the ratio of men to women is 7:2. Find the number of women required to join the existing committee so that the ratio of men to women is changed to 5: 4.
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The current ratio of men to women in the fundraising committee is 7:2, so there are 7/9 men and 2/9 women.
Let's assume that the number of men in the committee is 7x, and the number of women is 2x.
So, 7x + 2x = 9x is the total number of people in the committee.
To change the ratio to 5:4, we need to add y, additional women, and x men to the existing committee.
So, the new ratio is (7x + x):(2x + y) = 5:4.
This can be expressed as (8x):(2x + y) = 5:4.
Cross-multiplying, we get 4 * 8x = 5 * (2x + y).
32x = 10x + 5y.
27x = 5y. (Equation 1)
We need to find the number of women required, so we substitute x in Equation 1 with 45 to get:
27 * 45 = 5y.
1225 = 5y.
y = 1225/5 = 245.
So, the number of women required to join the existing committee to change the ratio to 5:4 is 245. Answer: \boxed{245}.
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