Question

Out of the 180 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?

72%
40%
54%
98%

Answer 1

Answer:

54%

Step-by-step explanation:

Given,

Total students = 180,

Students who signed up for canoeing = 72,

Students who signed up for trekking = 23,

Also, the students who signed up for both canoeing and trekking = 13

For making the two-way table,

Make a table having 4 rows and 4 columns ( shown below ),

With help of table,

Students who signed up for canoeing but not tracking = 72 - 13 = 59,

The students who did not sign up for tracking = 180 - 23 = 157,

Hence, the students who did not sign up for neither canoeing nor trekking

= 157 - 59 = 98

Therefore, the percentage of students signed up for neither canoeing nor trekking = $\frac{98}{180}\times 100=54.44\% \approx 54\%$

Answer 2

This would do better with a venn diagram..

13 signed up for both
meaning the ones that signed up for only canoeing was (72 - 13) = 59
and the ones that signed up for only track was (23 - 13) = 10

and there is a total of 180 students...
180 - (13 + 59 + 10) = 180 - 82 = 98 wanted neither

98/180 = 0.544 = 54.4% rounds to 54% <===