Question

Marcos makes a table to show how many students in his class wear glasses. There are 18 boys and 14 girls in the class. There are 5 boys and 7 girls who wear glasses. Which table correctly shows the data?
A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled glasses with entries 5, 7, 12. Column 3 is labeled no glasses with entries 13, 7, 20. Column 4 is labeled total with entries 18, 14, blank.
A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled glasses with entries 5, 9, 14. Column 3 is labeled no glasses with entries 7, 11, 18. Column 4 is labeled total with entries 12, 20, blank.
A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled glasses with entries 14, 18, 32. Column 3 is labeled no glasses with entries 5, 7, 12. Column 4 is labeled total with entries 19, 25, blank.
A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled glasses with entries 14, 5, 19. Column 3 is labeled no glasses with entries 18, 7, 25. Column 4 is labeled total with entries 32, 12, blank.

Answer 1

To determine which table correctly represents the data about students wearing glasses, let's break down the information provided in the problem.

Total students in the class:
- Boys: 18
- Girls: 14
- Total: 18 + 14 = 32

Students who wear glasses:
- Boys wearing glasses: 5
- Girls wearing glasses: 7
- Total wearing glasses: 5 + 7 = 12

Students who do not wear glasses:
- Boys not wearing glasses: 18 - 5 = 13
- Girls not wearing glasses: 14 - 7 = 7
- Total not wearing glasses: 13 + 7 = 20

Now, we can summarize the data in a table format:

| | Glasses | No Glasses | Total |
|------------------|---------|------------|-------|
| Boys | 5 | 13 | 18 |
| Girls | 7 | 7 | 14 |
| Total | 12 | 20 | 32 |

Now, let's analyze the provided table options:

1. **First Table**:
- Glasses: 5 (boys), 7 (girls), total 12 (correct).
- No glasses: 13 (boys), 7 (girls), total 20 (correct).
- Total: 18 (boys), 14 (girls), blank (should be 32). **(This table is incorrect because the total for students is not shown)**.

2. **Second Table**:
- Glasses: 5 (boys), 9 (girls, incorrect), total 14 (incorrect).
- No glasses: 7 (boys, incorrect), 11 (girls, incorrect), total 18 (incorrect).
- **(All entries in this table are incorrect)**.

3. **Third Table**:
- Glasses: 14 (incorrect), 18 (incorrect), total 32 (incorrect).
- No glasses: 5 (incorrect), 7 (correct), total 12 (incorrect).
- **(All entries in this table are incorrect)**.

4. **Fourth Table**:
- Glasses: 14 (incorrect for boys), 5 (incorrect for girls), total 19 (incorrect).
- No glasses: 18 (incorrect), 7 (correct), total 25 (incorrect).
- **(All entries in this table are incorrect)**.

**Conclusion**: None of the given tables correctly show the data according to the information provided.