Ask questions and get helpful answers.

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. 👁
  4. ℹ️
  5. 🚩

4 answers

  1. 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. ℹ️
    4. 🚩
  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
    and acc to question
    4x= 4 * 10 = 40
    3x= 3 * 10 = 30

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  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. 👎
    3. ℹ️
    4. 🚩
  4. 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. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.