Question

In a survey, it was found that the ratio of the people who like modern songs and folk song is 8:9. Out of which 50 people like both of songs. 40 like folk songs only and 80 like none of the songs. 1.Find the number of people who participated in survey. 2.Draw a Venn diagram

Answer 1

Step-by-step explanation:

Given In a survey, it was found that the ratio of the people who like modern songs and folk song is 8:9. Out of which 50 people like both of songs  40 like folk songs only and 80 like none of the songs. 1.Find the number of people who participated in survey. 2.Draw a Venn diagram

• Given in a survey ratio of people who liked modern songs as well as folk songs are in the ratio  8 : 9
• So number of people who liked both songs are 50
• Number of people who liked folk songs are 40
• Number of people who liked none were 80
• So we need to add all the people involved in the survey and so it will be
• 50 + 40 + 80 = 170
• Therefore number of people participated in the survey will be 170

Reference link will be

https://brainly.com/question/16933118

Answer 2

Answer:

• n(M∩F)=50
• n₀(F)=40
• n(M∪F)⁽ =80
• n(F)=n(M∩F)+n₀(F)=90
• ratio of modern and folk songs n(M):n(F)=8:9
• Then, n(M)÷n(F)=8÷9

                or, n(M)÷90=8÷9

                or, n(M)=8×10

                ∴ n(M)=80

• n₀(M)=n(M)-n(M∩F)=80-50 =30
• total no. of participated in survey =n₀(M)+n₀(F)+n(M∩F)+n(M∪F)⁽

                                                                =30+40+50+80

                                                                =200

Step-by-step explanation: