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Q22: In a company, the ratio of the number of men to the number of women is 1:3

20% of the men are under the age of 25
80% of the women are under the age of 25
What percentage of all the people in the company are under the age of 25?

1 Answer

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Let's assume that the company has 4x women and x men. Then, the total number of people in the company is 4x + x = 5x.

From the given information, we know that the ratio of men to women is 1:3, so we can set up the equation:

x/4x = 1/3

Solving for x, we get:

x = 1/3 * 4x
x = 4/3x

Multiplying both sides by 3/4, we get:

x = 3/4x

So, x represents 4/7 of the total employees in the company, and 3/7 are women.

Now we can calculate the percentage of people under the age of 25:

Number of men under 25 = 0.2x
Number of women under 25 = 0.8(4x/3) = 1.067x

Total number of people under 25 = 0.2x + 1.067x = 1.267x

Therefore, the percentage of people under 25 is:

(1.267x / 5x) * 100% = 25.34%

So, approximately 25.34% of all the people in the company are under the age of 25.
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