Total 850 million movie tickets sold.
1/5 were bought by people, aged over 50 = 170 million
4/5 were bought by people, aged less than 50 = 680 million
Question stem asked to find whether movie tickets bought by people aged less than 20 is more than 425 million? It can find if we have information above tickets bought by people aged above 20 to less than 50.
(1) In 1990, people under the age of 20 bought between two and three times as many tickets as were bought by people over the age of fifty.
Tickets bought by people aged <20 = 2*170 to 3*170 = 340 to 510 million
Hence, it can be more than 425 million or less than million.
Insufficient.
(2) In 1990, people under the age of 20 spent $2.2 billion more on movie tickets than did people over the age of 50, with both groups spending an average (arithmetic mean) of $6 per ticket.
People aged >50, spent money on movie tickets = $ x, People aged < 20, spent money on movie tickets = $ x + 2.2 million
No. of people People aged >50 = M and No. of people People aged < 20 = N
Mean of tickets bought by both people = $ 6/ticket,
6 = M*x + N* (x+2.2) /M+N. Here, one equation with three unknowns can not yield unique solution. Hence, insufficient.
1) + 2)
Still M, N and x are unknown. hence insufficient.
Ans. E.
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