Each visitor to an amusement park needs to buy a ticket. Tickets can be platinum, Gold, or Economy. Visitors are classified as old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day
- 140 tickets were sold.
- The number of Middle-aged visitors was twice
the number of Old visitors, while the number of
Young visitors was twice the number of Middle-
- Young visitors bought 38 of the 55 Economy
tickets that were sold, and they bought half the
total number of Platinum tickets that were sold.
- The number of Gold tickets bought by Old
visitors was equal to the number of Economy
tickets bought by Old visitors.
- If the number of Old visitors buying Platinum tick-
ets was equal to the number of Middle-aged visi-
tors buying Platinum tickets, then which among
the following could be the total number of Plati-
num tickets sold?
- If the number of Old visitors buying Platinum
tickets was equal to the number of Middle-aged
visitors buying Economy tickets, then the number
of Old visitors buying Gold tickets was
- If the number of Old visitors buying Gold tickets
was strictly greater than the number of Young
visitors buying Gold tickets, then the number of
Middle-aged visitors buying Gold tickets was
- Which of the following statements MUST be
(a) The numbers of Middle-aged and Young visitors
buying Gold tickets were equal
(b) The numbers of old and middle-aged visitors
buying Economy tickets were equal
(c) The numbers of Gold and Platinum tickets
bought by Young visitors were equal
(d) The numbers of Old and Middle-aged visitors
buying Platinum tickets were equal