Question

Out of the 120 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?

Answer 1

Answer: 32%

Step-by-step explanation: I just took it on the test and I got it right!!

Answer 2

Answer: The percentage of students signed up for neither canoeing nor trekking m=32%

Step-by-step explanation:

Given: The total number of students in summer camp n(S)=120

Number of students signed up for canoeing n(C)=72

Number of students signed up for trekking m(T)= 23

Number students signed up for trekking and canoeing n(C∩T)=13

Number of students signed up for only canoeing (Not trekking)=$72-13=59$

Number of students signed up for only trekking (Not canoeing)=$23-13=10$

Now, the number of students signed up for either trekking or canoeing is given by :-

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

Number of students signed up for neither trekking nor canoeing is given by :-$(n(C\cup T))'=n(S)-n(C\cup T)=120-82=38$

The percentage of students signed up for neither canoeing nor trekking

$=\frac{38}{120}\times100=31.6666666667\approx32\%$