Question

Out of the 150 students at a summer camp 72 signed up for canoeing there were 23 students who signed up for trekking and 13 of those students also signed up for canoeing use a two way table to organize The information and answer the following question approximately what percentage of students signed up for neither canoeing nor trekking
A.45%
B.68%
C.28%
D.42%

Answer 1

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Total number of students at a summer camp (Universal set)= 150

Number of students who signed for canoeing (C) = 72

Number of students who signed for trekking (T)=23

Number of student who signed for both (T∩C)= 13

As we know the formula of "Sets ":

$n(T\cup C)=n(T)+n(C)-c(T\cap C)\\\\n(T\cup C)=72+23-13\\\\n(T\cup C)=82$

So, we need to find the number of students who signed up for neither canoeing nor trekking:

$n(T\cup C)'=n(U)-n(T\cup C)\\\\n(T\cup C)'=150-82\\\\n(T\cup C)'=68$

Percentage of students signed up for neither canoeing nor trekking is given by

$\frac{68}{150}\times 100\\\\=45.33\4\\\\=45\%$

Hence, Option 'A' is correct.