We read your photo as:

In a village, there are 20% more women than men. What percentage of the total population are women?

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Define variables for the number of men and women.

    Let MM be the number of men in the village.
    Let WW be the number of women in the village.

  2. Express the number of women in terms of the number of men.

    The problem states there are 20%20\% more women than men. This means the number of women is the number of men plus 20%20\% of the number of men.

    W=M+0.20MW = M + 0.20M W=1.20MW = 1.20M
  3. Express the total population in terms of the number of men.

    The total population (PP) is the sum of men and women.

    P=M+WP = M + W

    Substitute the expression for WW from Step 2:

    P=M+1.20MP = M + 1.20M P=2.20MP = 2.20M
  4. Calculate the percentage of women in the total population.

    The percentage of women is the number of women divided by the total population, multiplied by 100%100\%.

    Percentage of women=WP×100%\text{Percentage of women} = \frac{W}{P} \times 100\%

    Substitute the expressions for WW and PP from Step 2 and Step 3:

    Percentage of women=1.20M2.20M×100%\text{Percentage of women} = \frac{1.20M}{2.20M} \times 100\%

    The MM terms cancel out:

    Percentage of women=1.202.20×100%\text{Percentage of women} = \frac{1.20}{2.20} \times 100\% Percentage of women=120220×100%\text{Percentage of women} = \frac{120}{220} \times 100\% Percentage of women=1222×100%\text{Percentage of women} = \frac{12}{22} \times 100\% Percentage of women=611×100%\text{Percentage of women} = \frac{6}{11} \times 100\% Percentage of women≈0.545454...×100%\text{Percentage of women} \approx 0.545454... \times 100\% Percentage of women≈54.55%\text{Percentage of women} \approx 54.55\%

    The percentage of women in the village is 54.55%\boxed{\text{54.55\%}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp