This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define variables for the number of men and women. Let M be the number of men in the village. Let W be the number of women in the village. Step 2: Express the number of women in terms of the number of men. The problem states there are 20\% more women than men. This means the number of women is the number of men plus 20\% of the number of men. W = M + 0.20M W = 1.20M Step 3: Express the total population in terms of the number of men. The total population (P) is the sum of men and women. P = M + W Substitute the expression for W from Step 2: P = M + 1.20M P = 2.20M Step 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\%. Percentage of women = (W)/(P) × 100\% Substitute the expressions for W and P from Step 2 and Step 3: Percentage of women = (1.20M)/(2.20M) × 100\% The M terms cancel out: Percentage of women = (1.20)/(2.20) × 100\% Percentage of women = (120)/(220) × 100\% Percentage of women = (12)/(22) × 100\% Percentage of women = (6)/(11) × 100\% Percentage of women ≈ 0.545454... × 100\% Percentage of women ≈ 54.55\% The percentage of women in the village is 54.55\%. That's 2 down. 3 left today — send the next one.