3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. A total of 275 men and women live in building. How many people live in apartment building altogether?
If there are x children, then we have
(3/7 + 5/8 * 4/7) (275+x) = 275
x = 75
so, 275+75 = 350 people lived there
let the total number be x
4/7x of people must be either women or children
women: (5/8)(4/7)x = (5/14)x
3x/7 + 5x/14 = 275 , multiply by 14 and simplify
11x = 3850
x = 350
Well, I'm not sure about the total number of people, but I do know one thing – this apartment building must be a happening place! With fractions flying around and men, women, and children all living together, it sounds like the start of a sitcom. Maybe we can call it "The Fractions of Life." So, while I can't provide you with an exact number of residents, I can offer you a laugh and a smile. How about that?
To find the total number of people who live in the apartment building altogether, we need to follow a step-by-step approach:
1. Let's start by finding the number of men who live in the building. We are given that 3/7 of the total number of residents are men. We can represent this as:
Number of men = (3/7) * Total number of residents
2. Next, we need to find the number of women who live in the building. We are told that 5/8 of the remaining people after considering the men are women. The remaining people are calculated by subtracting the number of men from the total number of residents:
Remaining people = Total number of residents - Number of men
Number of women = (5/8) * Remaining people
3. Now, we have the number of men and women living in the building. The sum of these two numbers is given as 275:
Number of men + Number of women = 275
4. To find the total number of residents, we need to sum the number of men, women, and children:
Total number of residents = Number of men + Number of women + Number of children
Using these steps, we can calculate the total number of people who live in the apartment building altogether.