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Question

According to the information provided in the table, a gaming company concludes that if they can double the number of 19- to 22-year old playing sports game, and increase the number of sports gamers in the 9- to 13-year old age group, they will have equal total numbers of players for each game type if they double the number of players of adventure games in which age group?

Age GroupFirst Person ShootersSports GamesAdventure GamesTotal
9-to 13-year olds1600000090000002500000050000000
14- to 18-year olds48000000130000003100000082000000
19-to 22-year olds38000000270000001900000084000000
23- to 60-year olds800000030000001000000021000000

A
23- to 60-year olds
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B
19- to 22-year olds
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C
14- to 18-year olds
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D
9- to 13-year olds
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Solution

The correct option is D 9- to 13-year olds
Total number of first person shooters =16,000,000+48,000,000+38,000,000+8,000,000
=110,000,000
Total number of people playing sports game =9,000,000+13,000,000+27,000,000+3,000,000
=52,000,000
Total number of people playing adventure game =25,000,000+31,000,000+19,000,000+10,000,000
=85,000,000
We don't know by how much the 9to13year old group will increase in sport game preference, but presumably the increase will be made to match the currently largest group, first person shooters.
In order to raise adventure games to the level of first person shooters, we need to add 110,000,00085,000,000=25,000,000 gamers to the adventure games group.
If we are going to do so by doubling one of the age groups, then 25,000,000 is equal to the size of the current group. 9to13year olds currently have 25,000,000 preferring adventure games.
Correct answer is option D.

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