Problema Solution

In a survey of 95 dancers, 58 knew how to do hip-hop, 36 knew how to jitterbug, and 35 knew how to Lindy hop. Of these, 23 knew how to do hip-hop and jitterbug, 12 knew how to jitterbug and Lindy hop, and 13 knew how to do hip-hop and Lindy hop. Eight dancers knew how to do all three dances.

Create a Venn diagram to reflect the above data, label your diagram clearly and Use your diagram to answer the following questions here.

(a) How many only knew how to Lindy hop?

(b) How many only knew how to do hip-hop?

(c) How many knew how to do exactly two of the three dances?

(d) How many knew how to jitterbug and Lindy hop, but not how to do hip-hop?

(e) How many knew none of these dances?

Answer provided by our tutors

In a survey of 95 dancers, 58 knew how to do hip-hop, 36 knew how to jitterbug, and 35 knew how to Lindy hop. Of these, 23 knew how to do hip-hop and jitterbug, 12 knew how to jitterbug and Lindy hop, and 13 knew how to do hip-hop and Lindy hop. Eight dancers knew how to do all three dances.

 

Create a Venn diagram to reflect the above data, label your diagram clearly and Use your diagram to answer the following questions here.

 

(a) How many only knew how to Lindy hop? 18

(b) How many only knew how to do hip-hop? 30

(c) How many knew how to do exactly two of the three dances? 50

(d) How many knew how to jitterbug and Lindy hop, but not how to do hip-hop? 4

(e) How many knew none of these dances? 6