Let's break down the information step-by-step to solve this problem:
1. Identify the given data:
- 25 students like walking pets.
- 4 students like walking pets but do not like mowing lawns.
- 23 students like mowing lawns.
- 7 students do not like walking pets.
2. Determine students who like both walking pets and mowing lawns:
- Since 25 students like walking pets, and 4 of those students do not like mowing lawns, the remainder must like both activities. To find this, we subtract the students who only like walking pets from the total number of students who like walking pets:
[tex]\[
\text{Students who like walking pets and mowing lawns} = 25 - 4 = 21
\][/tex]
3. Find the total number of students surveyed:
- We know that 25 students like walking pets and 7 students do not like walking pets. Adding these together gives us the total number of students:
[tex]\[
\text{Total students} = 25 + 7 = 32
\][/tex]
4. Determine students who do not like mowing lawns:
- To find out how many students do not like mowing lawns, we subtract the number of students who like mowing lawns from the total number of students:
[tex]\[
\text{Students who do not like mowing lawns} = 32 - 23 = 9
\][/tex]
So, the solution is:
- The number of students who like both walking pets and mowing lawns is [tex]\(21\)[/tex].
- The number of students who do not like mowing lawns is [tex]\(9\)[/tex].
These results match the numerical data we have, confirming the solution:
[tex]\[
(21, 9)
\][/tex]
