School

Within the BrainBashers school, the science department has three disciplines.

In total, 280 students study chemistry, 254 students study physics and 280 students study biology.

97 students study both chemistry and physics, 138 students study both physics and biology, 152 students study both chemistry and biology.

73 students study all three disciplines.

Can you determine how many students there are in the science department?


The answer is 500.

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2 solutions

n u m b e r o f s t u d e n t s = 104 + 79 + 73 + 24 + 63 + 65 + 92 = number~of~students=104+79+73+24+63+65+92= 500 \boxed{500}

Syed Baqir
Sep 12, 2015

It could be done with the Venn diagram:

We can see that in total 814 students are in the science department.

I have absolutely no idea what you are doing here.

Calvin Lin Staff - 5 years, 8 months ago

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I just extract the information and converted into one abstract diagram.

Syed Baqir - 5 years, 8 months ago

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Where did you get 814 from? Was it from 280 + 254 + 280 = 814?

Calvin Lin Staff - 5 years, 8 months ago

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@Calvin Lin that's the total I guess

Syed Baqir - 5 years, 7 months ago

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@Syed Baqir Note that the answer should be 500. You have double counted those who are taking multiple subjects. Hence the answer is wrong.

Calvin Lin Staff - 5 years, 7 months ago

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