Final answer:
Each girl will have 1/24 more pink sand than purple sand.
Step-by-step explanation:
To find out how much more pink sand will be available for each girl compared to purple sand, we need to subtract the amount of pink sand each girl would receive from the amount of purple sand each girl would receive. Let's calculate it step by step:
- Add up the total amount of pink and purple sand: 2/3 + 1/2 = 4/6 + 3/6 = 7/6 (since both fractions have the same denominator)
- Divide the total amount of sand by 4 (since there are 4 daughters): (7/6) ÷ 4 = 7/6 × 1/4 = 7/24
- Subtract the amount of purple sand each girl would receive from the amount of pink sand each girl would receive: 7/24 - 1/4 = (7/24) - (6/24) = 1/24
Therefore, each girl will have 1/24 more pink sand than purple sand. The answer is 1/24.