Question

Out of the 7920 visitors to an amusement park, 40% were children. Also, a fourth of the children and a third of the adults were repeat visitors. How many percent of the visitors were visiting the amusement park for the first time?

Answer 1

Hi,

using a table

Explanation:

`\begin{array}&Children&Adults&total\\------&------&------&------\\first\ visitors & 2376 &3168 &5544\\rep.\ visitors & 792 &1584 &2376\\------&------&------&------\\total &3168 &4752 &7920\\\end{array}`

percent of the first visitor=5544/7920=0.6994...≈70%

Answer 2

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.