Question

Colin surveyed his classmates about their favorite subject in school.

Colin’s Survey Results
Favorite Subject
Number of Students
Math
14
Language Arts
7
Earth Science
10
Life Science
11

Which statement is true?
The ratio of science fans to language arts fans is 10:7.
The ratio of language arts fans to science fans is 1:3.
The ratio of math and science fans to language arts fans is 24:7.
The ratio of language arts fans to math and science fans is 5:1

Answer 1

To analyze the statement about Colin's survey results, let’s summarize the data first:

- Math: 14 students
- Language Arts: 7 students
- Earth Science: 10 students
- Life Science: 11 students

Now, let's calculate the totals for Science and Math fans:

**Total Science Fans**:
- Earth Science: 10 students
- Life Science: 11 students
- Total Science Fans = 10 + 11 = 21 students

**Total Math and Science Fans**:
- Math: 14 students
- Total Science Fans: 21 students
- Total Math and Science Fans = 14 + 21 = 35 students

Now, let's evaluate each statement:

1. **The ratio of science fans to language arts fans is 10:7.**
- Science fans = 21, Language Arts fans = 7.
- Ratio = 21:7, which simplifies to 3:1 (not 10:7). This statement is **false**.

2. **The ratio of language arts fans to science fans is 1:3.**
- Language Arts fans = 7, Science fans = 21.
- Ratio = 7:21, which simplifies to 1:3. This statement is **true**.

3. **The ratio of math and science fans to language arts fans is 24:7.**
- Math and Science fans = 35, Language Arts fans = 7.
- Ratio = 35:7, which simplifies to 5:1 (not 24:7). This statement is **false**.

4. **The ratio of language arts fans to math and science fans is 5:1.**
- Language Arts fans = 7, Math and Science fans = 35.
- Ratio = 7:35, which simplifies to 1:5 (not 5:1). This statement is **false**.

Thus, the only true statement is:

**The ratio of language arts fans to science fans is 1:3.**