Question

The population of a village is 500. Out of which 35% are men, 32% women and the rest childre
Find the number of them separately.
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Answer 1

Answer:

The number of men, women and children separately:

• Number of men = 175
• Number of women = 160
• Number of children = 165

Step-by-step explanation:

Given that:

• The population of a village is 500.
• Out of which 35% are men, 32% women and the rest children.

To Find:

• The number of men, women and children separately.

Finding the number of men:

Formula: Number of men = Total population × Percentage of men

• Number of men = 500 × 35%
• Number of men = 500 × 35/100
• Number of men = (500 × 35)/100
• Number of men = 175

Finding the number of women:

Formula: Number of women = Total population × Percentage of women

• Number of women = 500 × 32%
• Number of women = 500 × 32/100
• Number of women = (500 × 32)/100
• Number of women = 160

Let us assume:

The number of children be x.

Finding the number of children:

Formula: Total population = Sum of the number of men, women and children

• Substituting the values.

→ 500 = 175 + 160 + x

→ x + 335 = 500

→ x = 500 - 335

→ x = 165

∴ Number of children = 165

Answer 2

Given

• Population of a village = 500
• Percentage of men = 35 %
• Percentage of women = 32 %
• Rest are children percentage

To find

• Number of men, women, children

Solution

First we shall find the total number of men, women and then add it to total number of children, assuming the value of children to be unknown and then equate it to population of the village.

Total number of men :-

Number of men = Total population × Percentage of men

Number of men = 500 × 35 %

Number of men = 500 × 35/100

Number of men = 175

Hence, the total number of men are 175

Total number of women :-

Number of women = Total population × Percentage of women

Number of women = 500 × 32%

Number of women = 500 × 32/100

Number of women = 160

Hence, the total number of women are 160

Now, we have number of men and women and total population, now let's take the number of children to be x and add women and men population and equate to the total population.

• x + 175 + 160 = 500
• x + 235 = 500
• x = 500 - 235
• x = 165

Hence, the number of children are 165

Verification

Total population = Men population + Women population + Children population

• 500 = 175 + 160 + 165
• 500 = 500
• L.H.S = R.H.S