3

3. [Maximum mark: 5]
   Tickets to enter a theme park are priced at a dollars for adults and c dollars for children.
   A school group of 6 adults and 50 children paid a total of $1292. A family of 2 adults and 3 children paid a total of$130.

(a) Write down two equations that represent this information. [2]

(b) Hence, find the price of
(i) an adult ticket [2]

(ii) a child ticket. [2]

(c) Write down the lower bound for the number of visitors last year. [1]