1/2 + 2/5 = 5/10 + 4/10 = 9/10
so
1/10 of them are men
(1/10) n = 100
n = 1,000
so
1/10 of them are men
(1/10) n = 100
n = 1,000
(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
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.
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.