there are 60 students studying sciences (biology chemistry and physics) 7 study biology, chemistry and physics. 12 study biology and chemistry. 15 study chemisty and physics. 35 study biology 32 study physics. complete the venn diagram.

Similarly, 15 students study biology and physics, which includes the 7 who also study chemistry. So there are 8 who study biology and physics but not chemistry.

And, 20 students study chemistry and physics, which includes the 7 who also study biology. So there are 13 who study chemistry and physics but not biology.

35 students study biology, which includes the 5 who study chemistry, the 8 who study physics, and the 7 who study both chemistry and physics. Therefore, there are 15 students who study only biology.

Similarly, 32 students study physics, which includes the 8 who study biology, the 13 who study chemistry, and the 7 who study both biology and chemistry. Therefore, there are 4 students who study only physics.

Since there's a total of 60 students, there must be 8 students who study only chemistry.

hanfa42250 hanfa42250 · Answer 2 · 2022-01-20T15:28:55+01:00

Answer:

Well you already know that 10 people are doing all 3 subjects so they are in the middle.

13 people are doing chemistry and biology but 10 of them are also doing physics so you do 13-10=3 so that's what you put for that bit.

It says that 19 people are doing biology and physics but again as 10 people are also doing chemistry with it, you do 19-10=9 which is what you put in that part.

Again as 18 people are doing chemistry and physics but 10 of them are also doing biology, you do 18-10=8 which you put for that part.

You know that 41 people as a whole are doing chemistry, so you do 10+3+8=21 and then do 41-21=20. This tells you that 20 people are doing only chemistry.

As you know 30 people are doing physics, you do 10+9+8=27 and then 30-27=3 to get 3 people doing only physics.

Then when you add all the numbers together and do 9+3+10+20+8+3=53. As there are 60 students you do 60-53=7 to get the number of people doing just biology and now you have all the figures and you just have to put the numbers in the Venn diagram

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