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In the Reagan High School swim club, 120 members swim the

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In the Reagan High School swim club, 120 members swim the

by BTGmoderatorLU » Tue Jul 09, 2019 3:33 am

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Source: Princeton Review

In the Reagan High School swim club, 120 members swim the backstroke or the crawl or both. If 30 of these members do not swim the backstroke, how many members swim both the crawl and the backstroke?

1. Of the 120 members, 72 do not swim the crawl.
2. A total of 48 members swim the crawl.

The OA is D
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Source: — Data Sufficiency |
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by deloitte247 » Fri Jul 12, 2019 9:40 pm

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Let students who do only backstroke = b
Let student who do only crawl = c
Let student who do both = x
Given that b + c + x =120 and c = 30
b + x = 120 - c = 120 - 30 =90
Find x
Statement 1 => of the 120 members... 72 do not swim and crawl this means b = 72
b + x = 90 ; x = 90 - 6 ; x = 90 - 72 ; x = 18, statement 1 is SUFFICIENT
Statement 2 => A total of 48 members swim the crawl .
Since this also includes those that do both crawl and backstroke
c + x = 48 where c = 30
30 + x = 48 ; x = 48 - 30
x = 18
Statement 2 is also SUFFICIENT
Since both statement alone are SUFFICIENT
Answer = option D
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