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by akhilsuhag » Wed Nov 26, 2014 4:38 am
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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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Nov 26, 2014 6:16 am
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.
Even when the statements are combined, we have no information about the number of students who play baseball and basketball.
Thus, the total number who play baseball cannot be determined.
INSUFFICIENT.

The correct answer is E.
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by GMATinsight » Wed Nov 26, 2014 6:21 am
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.
Answer: Option E
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