Sure, let's solve the problem step-by-step and verify each statement.
### Step 1: Calculate the Total Number of Students Playing Sports
Add the number of students playing sports from each grade:
- 9th grade: 63
- 10th grade: 52
- 11th grade: 35
- 12th grade: 41
[tex]\[ \text{Total Sports} = 63 + 52 + 35 + 41 = 191 \][/tex]
### Step 2: Calculate the Total Number of Students Not Playing Sports
Add the number of students not playing sports from each grade:
- 9th grade: 51
- 10th grade: 45
- 11th grade: 21
- 12th grade: 36
[tex]\[ \text{Total No Sports} = 51 + 45 + 21 + 36 = 153 \][/tex]
### Step 3: Calculate the Total Number of 12th Grade Students Surveyed
Add the number of students in the 12th grade who play sports and those who do not:
[tex]\[ \text{Total 12th Grade} = 41 + 36 = 77 \][/tex]
### Step 4: Calculate the Total Number of 10th Grade Students Surveyed
Add the number of students in the 10th grade who play sports and those who do not:
[tex]\[ \text{Total 10th Grade} = 52 + 45 = 97 \][/tex]
### Step 5: Verify the Statements
1. 191 students play sports and 150 students do not
- Total Sports: 191 (Correct)
- Total No Sports: 150 (Incorrect, it's 153)
2. 153 students do not participate in sports and seventy-five 12th graders were surveyed
- Total No Sports: 153 (Correct)
- Total 12th Grade: 75 (Incorrect, it's 77)
3. 153 students do not participate in sports and 190 do.
- Total No Sports: 153 (Correct)
- Total Sports: 190 (Incorrect, it's 191)
4. 191 students play sports and ninety-seven 10th graders were surveyed.
- Total Sports: 191 (Correct)
- Total 10th Grade: 97 (Correct)
After comparing with the given statements, the correct statement is:
191 students play sports and ninety-seven 10th graders were surveyed.
