# maths

In a class of 60 students,the number of students who passed biology is 6 more than the number who passed chemistry.Every student passed at least one of the two subjects and 8 students passed both subjects.How many students passed biology and chemistry.

1. 👍
2. 👎
3. 👁
1. Draw your Venn diagram. You can see that if x students passed chemistry, then
x + x+6 - 8 = 60

1. 👍
2. 👎
2. Let 'u' be total students in the school, n(u)=60.
Let 'B' be number of biology, n(B)=?
Let 'C' be number of Chemistry,n(C)=?
Let n(B n C)=8.
Let 'x' be those who sturdy chemistry only
✓sketch the Venn diagram and show all the information in it.
That is:
Write n(B)=? On top of first set
Write n(C)=? On top of second set
Write '6' in the first set
Write 'x' in the second set
Write '8' as intersection
>Now add all the three regions and equate to the union.i.e
(6 + 8 + x)=60
14 + x =60
X=46
i. Number of biology= (6+8)=14
ii.Number of Chemistry=(8+x)=(8+46)=56
iii.Number of those who sturdy only one game=(6+x)=but x=46, so we have (6+46)=52.
Let prove if we have our answers correct
NB: Addition of the three regions should be equal to the union.
We have (6+8+x)=60, but x= 46,so we have (6+8+46)=60
60=60✓✓✓✓✓✓✓✓✓✓✓✓is correct

1. 👍
2. 👎
3. Great😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😃😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😄😎😎😎😎😎😎😎😎😎😘😘😘😘😎😎😎😎😎😎😎😎😎😎😎😎😊😋😅😅😍😎😎😋😎😍😅😘😆😘😍😎😋😂😋😎😍😍😘😘😑😘😗😗😐😍😎😇😇☺☺😘😘😘😘😘😘

1. 👍
2. 👎

1. 👍
2. 👎
5. I like the way the answer was presented and it made me understand it very easily

1. 👍
2. 👎
6. It's cool I understand it very well.That is Fantastic.Bravo😀🤗🤩😁😜😛😇😺👩‍🏫

1. 👍
2. 👎
7. It's cool Fantastic

1. 👍
2. 👎
8. I love your presentation, wonderful

1. 👍
2. 👎
9. Yes

1. 👍
2. 👎
10. Please number of chemistry= (8+x)=(8+46)=56
I think is 54 but not 56

1. 👍
2. 👎
11. Awesome thanks buddy but I don't think I can do it for now

1. 👍
2. 👎
12. Why didn't you draw the Venn diagram

1. 👍
2. 👎

## Similar Questions

1. ### algebra help!

8) While eating in the cafeteria at school, 65%, or 26, of the students in the class ate pizza. find the number of students in the entire class. My guess is 17 students?? PlZ Help!

2. ### maths

In a class of 80 students, 53 study Art, 60 study Biology, 36 study Art and Biology, 34 study Art and Chemistry, 6 study Biology only and 18 study Biology but not Chemistry. Illustrate the information on a Venn diagram. Determine

3. ### math

In a class of 150 students 70 passed in verbal and 90 passed in aptitude.10 failed in both the subject.how many students passed in both subject

4. ### maths-urgently needed

90% of all students passed in Hindi, 85% in Maths and 150 students passed in both. calculate total number of students in the school.

1. ### Mathematics

In a class of 50 students, the number of students who offer Accounting is twice as the number who offer Economics. 10 students offer neither of tsubjecs the two subjects. I. Illustrate the information on a Venn diagram. II. How

2. ### math

the ratio of the number of students in class A, B and C is 3:7:8. if 10 students leave c and join b , the ratio of the number of students in b and c would be reversed. find the total number of students in classes a,b and c Can I

3. ### maths

In a class of 60 students,the number of students who passed biology is 6 more than the number who passed chemistry.Every student passed at least one of the two subjects.i.how many students passed biology ii.how many students

4. ### Math

In a class of 100 students, 40 offer Biology and 10 offer Chemistry and Biology .10 offer Physics and Chemistry , and 30 offer Physic and Biology . Each student offer at least one of the three subjects. The number of students who

1. ### math help!!!!! Thanks

Eighteen students in a class play baseball. Seventeen students in the class play baseball. Thirty students in the class play either or both sports. In a Venn diagram which one shows the number of students who play basketball and

Lee and Fred are elementary school teachers. Fred works for a charter school in Pacific Palisades, California, where class size reduction is a goal for 2013. Lee works for a noncharter school where funds do not allow for class

3. ### math

70% of Ms. Miller's class passed the test on the first try. Those who failed were able to retake and half of those students passed on their second try. If there are 20 students in the class, what overall percentage passed the

4. ### Mathematics

In a class of 42 students,25 offer biology,15 offer history and 18 do biology but not history. i. Draw a Venn diagram to show the information. ii. Find how many students offer neither history nor biology