The fraction of men in a population who are married is 2/3. The fraction of women in the population who are married is 3/5. What fraction of the population is single?
the population has m men and w women.
Assuming that each married person has a single spouse,
2/3 m = 3/5 w
So, m = 9/10 w
So, assume there are 9 men and 10 women.
The given fractions don't give integer results, so we need to multiply the proposed population.
LCM(3,5) = 15, so let's say there are
135 men and 150 women.
2/3 of 135 = 70
3/5 of 150 = 90
So, there are 160 married people out of 285 total.
The single population is 125/285 = 43.9%
sorry - 2/3 of 135 = 90, as expected.
single is 105/285 = 36.8%
To find the fraction of the population that is single, we need to subtract the fraction of married men and married women from 1.
Let's calculate it step by step:
Step 1: Find the fraction of men who are single.
The fraction of men who are married is 2/3. Therefore, the fraction of men who are single is 1 - 2/3.
Step 2: Find the fraction of women who are single.
The fraction of women who are married is 3/5. Therefore, the fraction of women who are single is 1 - 3/5.
Step 3: Add the fractions of single men and single women together to find the fraction of the population that is single.
The fraction of the population that is single is the sum of the fraction of single men and the fraction of single women.
Let's calculate it:
Step 1: Fraction of single men = 1 - 2/3 = 1/3
Step 2: Fraction of single women = 1 - 3/5 = 2/5
Step 3: Fraction of the population that is single = Fraction of single men + Fraction of single women
= 1/3 + 2/5
= 5/15 + 6/15
= 11/15
Therefore, the fraction of the population that is single is 11/15.
To find the fraction of the population that is single, we need to subtract the fraction of the population that is married from 1.
Let's solve it step by step:
1. Let's assume that the population consists of 100 units (since fractions can be thought of as parts out of 100).
2. Given that the fraction of men who are married is 2/3, we can calculate the fraction of men who are single:
- Married men = (2/3) x 100 = 66.67
- Single men = 100 - 66.67 = 33.33
3. Similarly, for women:
- Married women = (3/5) x 100 = 60
- Single women = 100 - 60 = 40
4. To find the total fraction of the population that is single, we sum the number of single men and single women:
- Total single population = 33.33 (single men) + 40 (single women) = 73.33
5. Finally, we divide the total single population by the total population:
- Fraction of the population that is single = 73.33 / 100 = 0.7333
Therefore, the fraction of the population that is single is approximately 0.7333, which can also be expressed as 73.33/100 or 7333/10000.