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Every student in the senior class is taking history or science. There are $200$ seniors in the class. If there are $126$ seniors taking history and $129$ seniors taking science, how many students are taking both history and science?

 Feb 20, 2015

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 #1
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The number is given by (126 + 129) - 200 =  55

Note that we can find the number taking either, but not both, by taking (126 - 55) =   71   and (129 - 55) = 74

So the ones taking just history plus the number taking both plus the number taking history is....

71 + 74 + 55 = 200

 

 Feb 20, 2015

1+0 Answers

 #1
avatar+130516 
+5
Best Answer

The number is given by (126 + 129) - 200 =  55

Note that we can find the number taking either, but not both, by taking (126 - 55) =   71   and (129 - 55) = 74

So the ones taking just history plus the number taking both plus the number taking history is....

71 + 74 + 55 = 200

 

CPhill Feb 20, 2015

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