$40 %$ of the 7920 visitors to an amusement park were children, 25% of the children and $\frac{1}{3}$ of the adults were repeated visitors. How much per cent of the visitors were visiting the amusement park for the first time

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Solution

Total number of visitors $= 7920$
Children $= 40 %$ of $7920$
Children $= 0.4 \times 7920 = 3168$
Number of Adults $= 7920 - 3168 = 4752$
Number of repeated visitors that are children: $= 25 % \times 3168$
Repeated visitors $= 0.25 \times 3168 = 792$
Number of children that are visiting for the first time $= 3168 - 792 = 2376$
Number of repeated visitors that are adult $= \frac{1}{3} \times 4752 = 1584$
Number of adults that are visiting for the first time $= 4752 - 1584 = 3168$
Total number of first time visitors $= 3168 + 2376 = 5544$
$∴$ There are $5544$ visitors that are visiting for the first time

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40% of the 7920 visitors to an amusement park were children, 25% of the children and 13 of the adults were repeated visitors. How much per cent of the visitors were visiting the amusement park for the first time

$40 %$ of the 7920 visitors to an amusement park were children, 25% of the children and $\frac{1}{3}$ of the adults were repeated visitors. How much per cent of the visitors were visiting the amusement park for the first time