Question

A survey of reading habits of 100 students showed that 30 read both comics and novels. 10 read neither comics nor novels and twice as many students read comics as read novels. 1. illustrate the information on a Venn diagram. 2. how many students read only novels. 3. how many students read comics. 4. how many students read Comics only?

Answer 1

Answer:

40

Step-by-step explanation:

Step 1: A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groupings of objects. Circles that overlap have some characteristics, but circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different graphically.

Step 2: A Venn diagram is created by drawing an area with two or more overlapping circles (or ellipses), each of which represents a set, and then filling it in with the pertinent information that is either provided or must be inferred logically. E.g. A two-circle Venn diagram showing the connection between sets A and B is shown below.

Step 3: Let C represents comics and N represents Novels. Total number of students =100 $N(C \cap N)=30$; Neither Comics not Novels =10 let $N(C)=2 x$ and $N(N)=x$.

Here, $x+2 x+30+10=100 \Rightarrow 3 x=60$

$\Rightarrow \quad x=20$

Number of students real novel =20+30=50

$\Rightarrow$Number of students read novel =50

Number of students read comics only =40

$ie.) 2 x=2(20)=40 .$

Learn more about similar questions visit:

https://brainly.in/question/1420723?referrer=searchResults

https://brainly.in/question/681651?referrer=searchResults

#SPJ1