# Math

In a group of 95 students , the ratio of students who like mathematics and science is 4:5 . if 10 of them like both the subjects and 15 of them like none of the subjects then by drawing a venn diagram,find how many of them like only mathematics and how many of them only likescience

1. 👍
2. 👎
3. 👁
1. fill in all the fields of your Venn diagram.
Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 9

Now you know each of the entries in the Venn diagram.

1. 👍
2. 👎
2. Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10

1. 👍
2. 👎
3. Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10
and acc to question
4x= 4 * 10 = 40
3x= 3 * 10 = 30

1. 👍
2. 👎
4. Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10
and acc to question
4x= 4 * 10 = 40
3x= 3 * 10 = 30

1. 👍
2. 👎

## Similar Questions

1. ### math

The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question. 1.how many students scored 78? (1 point) 1 student 2 students 3 students 4 students

2. ### Mathematics

in a class of 70 students, 6 offer economics only, 18 offer economics but mathematics, 36 offer economics and geography, 53 offer economics, 50 offer geography and 34 offer mathematics and geography. All students offer atleast one

3. ### stats

Which of the following variables for data about a track team is a discrete variable? C?? The height of a team member A The weight of a team member B The number of times that a team member finished first in a race C The time

4. ### Math

I have a bar graph that shows the number of students by major in the College of Arts and Science. Math shows 200 students History shows 300 students English shows 400 students Science shows 150 students Other shows 175 students

1. ### Algebra 2

A music teacher wants to determine the music performances of students. A survey of which group would produce a random sample. students in school band students attending the jazz concert students in every odd numbered homeroom

2. ### mathematics

in a class, 156 students study science and mathematics.if they passed at least one subject and twice as many passed science as many passed mathematics and 75 passed in mathematics subjects, find how many passed in mathematics

3. ### 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

4. ### Math

In a group of 105 students, 70 students passed Mathematics, 60 students passed History and 45 students passed Geography; 30 students passed Mathematics and History, 35 students passed History and Geography, 25 passed Mathematics

1. ### Science

When entering science lab, which of the following should be done by science students? Students should start working on their experiment. Students must talk to their lab partner to see what they need to do next. Students must wait

2. ### math

A group of students surveyed chose baseball and soccer as their favorite sports in a ratio of 3:8. a. If 132 students were surveyed, find the number of students that chose soccer as their favorite sport.

3. ### Algebra

In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports? A.160 students B.191 students

4. ### mathematical methods for economics

in a class of 300 students,they were given mathematics test in three subjects namely,economics,statistics and mathematics,90 students failed in economics,100 failed in statistics,96 failed in mathematics,60 failed in economics and