Question

$40\%$ 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

Answer 1

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$=3168+2376=5544$

$\therefore$ There are $5544$ visitors that are visiting for the first time