At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?
(1) 40 athletes play both baseball and football, and 75 play football only and no other sport.
(2) 60 athletes play only baseball and no other sport.
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akhilsuhag
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Even when the statements are combined, we have no information about the number of students who play baseball and basketball.akhilsuhag wrote:At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?
(1) 40 athletes play both baseball and football, and 75 play football only and no other sport.
(2) 60 athletes play only baseball and no other sport.
Thus, the total number who play baseball cannot be determined.
INSUFFICIENT.
The correct answer is E.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Answer: Option Eakhilsuhag wrote:At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?
(1) 40 athletes play both baseball and football, and 75 play football only and no other sport.
(2) 60 athletes play only baseball and no other sport.
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