Question

In a programming team of 20 persons, 1/4 are women and 3/4 are men. to obtain a team with 40% women, how many women should be hired?

Answer 1

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. Currently, there are 5 women in the team (1/4 of 20). By setting up an equation and solving for x, we find that 5 women should be hired.

Step-by-step explanation:

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. We know that currently 1/4 of the team are women, which means there are 5 women in the team (20 * 1/4 = 5). To find out how many women should be hired, we subtract the number of women in the team from the target number of women in the team:

Number of women to be hired = Target number of women - Current number of women

Number of women to be hired = 0.4 * (20 + x) - 5

Where x is the number of women to be hired. Now we can solve for x:

0.4 * (20 + x) - 5 = x

Distribute and simplify:

8 + 0.4x - 5 = x

Combine like terms:

0.4x - x = 5 - 8

0.6x = 3

Divide both sides by 0.6:

x = 3 / 0.6

x = 5

So, 5 women should be hired to obtain a team with 40% women.

Answer 2

This is the concept of algebra, to solve the question we proceed as follows;
the current number of women is:
1/4*20=5 women
the percentage of women is:
1/4*100=25%
therefore for the team to have 40% women, the number of women should be:
40/25*5
=8 women
The answer is 8 women