In a village, half the population is made up of children, two fifth are women and rest are men. If there are hundred men, find the total population of the village
1/2 + 2/5 = 5/10 + 4/10 = 9/10
so
1/10 of them are men
(1/10) n = 100
n = 1,000
To find the total population of the village, we need to determine the number of children and women first.
Given that half the population is made up of children, and there are 100 men, we can calculate the number of men as follows:
100 men = (1/2) * Total population
Total population = 100 men / (1/2)
Total population = 100 * 2
Total population = 200
Now, we know that two-fifths of the population consists of women. We can find the number of women as follows:
(2/5) * Total population = Number of women
(2/5) * 200 = Number of women
Number of women = 80
Finally, to find the total population of the village, we add the number of children, men, and women:
Total population = Number of children + Number of men + Number of women
Total population = 100 + 100 + 80
Total population = 280
Therefore, the total population of the village is 280.
To find the total population of the village, we need to calculate the population of each group and then sum them up.
Let's start with the given information:
- The population consists of children, women, and men.
- Half of the population is made up of children, which means children comprise 1/2 or 50% of the village population.
- Two-fifths of the population are women, which means women make up 2/5 or 40% of the village population.
- The rest of the population consists of men, which accounts for the remaining percentage.
First, let's calculate the number of women in the village:
- If there are 100 men in the village, then the number of women is 2/5 of the total population.
- So, the number of women can be calculated using the equation: 40% * Total Population = 2/5 * Total Population = 100.
- To solve for the total population, we can set up the equation: 2/5 * Total Population = 100 and solve for Total Population.
Multiply both sides of the equation by (5/2) to isolate Total Population:
(5/2) * (2/5) * Total Population = 100 * (5/2).
Total Population = 100 * (5/2).
Total Population = 500/2.
Total Population = 250.
Therefore, the total population of the village is 250.
total --- x
(1/2)x + (2/5)x + 100 = x
times 10
5x + 4x + 1000 = 10x
x = 1000
check:
1/2 are kids ----> 500
2/5 are women --> 400
total so far = 900 , leaving 100 men