Question

40% of the 7920 visitors to an amusement park were children ,25% of the children and 1/3 of the adults were repeated visitors.How many per cent of the visitors were visiting the amusement park for the first time?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Children}\mathrm{visiting}\mathrm{the}\mathrm{park}=7920\times \frac{40}{100}=3168 \\ \mathrm{Adults}\mathrm{visiting}\mathrm{the}\mathrm{park}=7920-3168=4752 \\ \mathrm{Children}\mathrm{who}\mathrm{are}\mathrm{visiting}\mathrm{the}\mathrm{park}\mathrm{repeatedly}=3168\times \frac{25}{100}=792 \\ \mathrm{Adults}\mathrm{who}\mathrm{are}\mathrm{visiting}\mathrm{the}\mathrm{park}\mathrm{repeatedly}=4752\times \frac{1}{3}=1584 \\ \mathrm{Children}\mathrm{who}\mathrm{are}\mathrm{visits}\mathrm{the}\mathrm{park}\mathrm{for}\mathrm{the}\mathrm{first}\mathrm{time}=3168-792=2376 \\ \mathrm{Adults}\mathrm{who}\mathrm{are}\mathrm{visits}\mathrm{the}\mathrm{park}\mathrm{for}\mathrm{the}\mathrm{first}\mathrm{time}=4752-1584=3168 \\ \mathrm{So},\mathrm{total}\mathrm{visitors}\mathrm{who}\mathrm{are}\mathrm{visits}\mathrm{the}\mathrm{park}\mathrm{for}\mathrm{the}\mathrm{first}\mathrm{time}=2376+3168=5544 \\ \mathrm{Percentage}\mathrm{of}\mathrm{visitors}\mathrm{who}\mathrm{are}\mathrm{visits}\mathrm{the}\mathrm{park}\mathrm{for}\mathrm{the}\mathrm{first}\mathrm{time}=\frac{5544}{7920}\times 100=70\% \end{gathered}$$
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