Answer:
70% of the visitors were visiting the amusement park for the first time.
Explanation:
To determine the percentage of visitors who were visiting the amusement park for the first time, we need to subtract the percentage of repeat visitors from 100%.
Given that 40% of the visitors were children, this implies that 60% of the visitors were adults (since 100% - 40% = 60%).
Now, a fourth of the children and a third of the adults were repeat visitors.
To calculate the percentage of repeat visitors among children:
Repeat visitors among children = 40% / 4 = 10%
To calculate the percentage of repeat visitors among adults:
Repeat visitors among adults = 60% / 3 = 20%
To calculate the total percentage of repeat visitors:
Total repeat visitors = Repeat visitors among children + Repeat visitors among adults = 10% + 20% = 30%
Finally, to determine the percentage of visitors visiting the amusement park for the first time:
Percentage of first-time visitors = 100% - Total repeat visitors = 100% - 30% = 70%
Therefore, 70% of the visitors were visiting the amusement park for the first time.