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#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.
>50 bought ; 850/5 = 170 million tickets
so <20 age ; 170*2 ; 340 or 170*3 ; 510 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.
total money spent by >50 ; 170*6 ; 1020
so by <20 age ; 2.2+1020 ; 2.3 billion ~ ticket by <20 ; 2.3/6 = 383 million
sufficient
IMO B
In 1990 850 million movie tickets were sold in the United States. One fifth of those tickets were bought by people over the age of 50. Did people under the age of 20 buy more than 425 million movie tickets in 1990?

(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.

(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.
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In 1990 850 million movie tickets were sold in the United States. One fifth of those tickets were bought by people over the age of 50. Did people under the age of 20 buy more than 425 million movie tickets in 1990?

1/5(850)=190 tickets:>50
<20:>425?

(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.
two times of 190 is 380
three times of 190 is 470
one is under 425 the other is over 425 therefore,
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.

6(190)=114million
(2200+114)/6=385.
<425
sufficient
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Quote:
In 1990 850 million movie tickets were sold in the United States. One fifth of those tickets were bought by people over the age of 50. Did people under the age of 20 buy more than 425 million movie tickets in 1990?

(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.
(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.

(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: insufic.

over 50 = 850/5 = 170M tickets… 2 (over 50) ≤ under 20 ≤ 3 (over 50)… 340M ≤ under 20 ≤ 510M

(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: sufi.

under 20 spending - over 50 spending = 2200M
x*$6 - 170M*6 = 2200M… x = 2200M/6 + 170… x = (2200+1020)/6 =~ 531M > 425M

Answer (B)
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In total, there are 850 million tickets.
—> People over 50 years old bought 850*1/5 = 170 million tickets. (20%)

Did people under 20 years old buy more than 50% percent of tickets (more than 425 million tickets) ???

Statement1: People under 20 years old bought between 2*170 and 3*170
—> 340 m<tickets( bought by people under 20)< 510 m
It could be <425 or > 425
Insufficient

Statement2:
(under20)*6 > 170(over50)*6+ 2200
—> (Under20)*6= 1020+2200=3220
(Under20)= 3220/6=536.(6)

(Under20) bought more than 50 percent (536.(6)) of tickets.
Sufficient
The answer is B

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From question stem: Tickets bought by people over the age of 50 = 170 million.

We need to find whether people under age of 20 bought 425 million tickets.

Statement 1: between 2 to 3 times of 170 (can take any value from 340 million to 510 million) >>NOT SUFFICIENT

Statement 2: people under 20 spent 2.2 billion more. Per ticket price is given. From this we can find additional numbers of ticket bought by people under age of 20. SUFFICIENT

B is the answer.
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