37of the people who live in an apartment building are men. 58of the remaining people are women. The rest are children. A total of 220 men and women live in the building. How many people live in the apartment building altogether?
This makes no sense as written.
unless there is a large number of people who are genderless...
Wtf Guys
To find out how many people live in the apartment building altogether, we need to work step by step.
Given that 37% of the people who live in the building are men, we can calculate the number of men using the percentage:
Number of men = (37% / 100%) * Total number of people
Since we don't know the total number of people yet, let's represent it as 'x':
Number of men = (37% / 100%) * x
Now let's calculate the number of women in the building. We are told that 58% of the remaining people are women.
To find the remaining people, we subtract the number of men from the total number of people:
Remaining people = Total number of people - Number of men
Remaining people = x - (37% / 100%) * x
So, the number of women is:
Number of women = (58% / 100%) * Remaining people
Number of women = (58% / 100%) * (x - (37% / 100%) * x)
Now, we know that the total number of men and women is 220, so we can set up an equation:
Number of men + Number of women = 220
Substituting the values we calculated earlier:
(37% / 100%) * x + (58% / 100%) * (x - (37% / 100%) * x) = 220
Simplifying the equation:
(0.37x) + (0.58 * (x - 0.37x)) = 220
Now we can solve for x.
0.37x + 0.58x - 0.2146x = 220
Combining like terms:
0.7354x = 220
Dividing both sides by 0.7354:
x = 299.18
Since we can't have a fraction of a person, the total number of people living in the apartment building is approximately 299.