Sarla wins some money from a lottery. She divides it in such a way that her son gets 1/3 of the money and each of her four daughters gets equal share of the remaining. What fraction does each daughter get
total ---- x
son gets x/3
leaves 2x/3 for the 4 daughters
so 2x/3 ÷ 4 = 2x/12 = x/6
each daughter gets 1/6 of the total
check: 1/6+1/6+1/1+1/6+1/3 = 1
To determine the fraction each daughter receives, we need to follow the given information. Let's break down the problem step by step:
1. Sarla's son receives 1/3 of the total money.
2. The remaining money is divided equally among her four daughters.
First, we need to find the fraction of money that each daughter receives after Sarla's son has received 1/3. To calculate this, we subtract 1/3 from 1 (since 1 represents the total amount of money).
1 - 1/3 = 2/3
So, the remaining money (after Sarla's son has received his share) is 2/3 of the total money.
Next, we need to divide this remaining money equally among the four daughters. To divide something equally, we need to divide it by the number of parts it is being divided into (in this case, four daughters).
So, we divide 2/3 by 4:
(2/3) ÷ 4 = 2/3 × 1/4 = 2/12 = 1/6
Therefore, each daughter receives 1/6 of the money.