Answer: The calculations are done below.
Step-by-step explanation: Keeping the pie diagrams given in the question in mind, we solve the problems as follows.
(1) There are total 150 children.
(a) Number of children who chose camping is
[tex]S_c=\dfrac{36^\circ}{360^\circ}\times 150 = 15~\textup{students}.[/tex]
(b) Number of children who chose france is
[tex]S_f=\dfrac{120^\circ}{360^\circ}\times 150 = 50~\textup{students}.[/tex]
(c) Number of children who chose pony trek is
[tex]S_p=\dfrac{108^\circ}{360^\circ}\times 150 = 45~\textup{students}.[/tex]
(d) Number of children who chose disney world is
[tex]S_d=\dfrac{96^\circ}{360^\circ}\times 150 = 40~\textup{students}.[/tex]
(2) There are total 1200 drinks.
(a) Number of water drinks sold is
[tex]D_w=\dfrac{150^\circ}{360^\circ}\times 1200 = 500.[/tex]
(b) Number of tea drinks sold is
[tex]D_t=\dfrac{60^\circ}{360^\circ}\times 1200 = 200.[/tex]
(c) Number of hot drinks sold is
[tex]D_h=\dfrac{120^\circ}{360^\circ}\times 1200 = 400.[/tex]
(d) Number of cold drinks sold is
[tex]D_c=\dfrac{30^\circ}{360^\circ}\times 1200 = 100.[/tex]
(3) The total number of people is 72.
(a) Number of people who never ate chocolate is
[tex]P_c=\dfrac{60^\circ}{360^\circ}\times 72 = 12.[/tex]
(b) Number of people who ate chocolate once a week is
[tex]P_o=\dfrac{45^\circ}{360^\circ}\times 72 = 8.[/tex]
(c) Number of people who ate chocolate occasionally is
[tex]P_o=\dfrac{30^\circ}{360^\circ}\times 72 = 6.[/tex]
(d) Number of people who ate chocolate everyday is
[tex]P_o=\dfrac{180^\circ}{360^\circ}\times 72 = 36.[/tex]
Thus, the calculations are done.
