maddie5moomin
contestada

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.

Respuesta :

MathPhys

Step-by-step explanation:

Draw a three-ring Venn diagram.

7 students study all three subjects, where the three circles overlap.

12 students study biology and chemistry, which includes the 7 who also study physics.  So there are 5 who study biology and chemistry but not physics.

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.

Ver imagen MathPhys
hanfa42250

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

Step-by-step explanation:

Otras preguntas