Of 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

(Select your answer below)*
75
90
105
120
135

To find out how many students earned a C for the course, we can follow these steps:

1. **Total number of students**: 180
2. **Students who earned an A**:  
   \(\frac{1}{4}\) of 180 = \(\frac{1}{4} \times 180 = 45\) students
3. **Students who earned a B**:  
   \(\frac{1}{3}\) of 180 = \(\frac{1}{3} \times 180 = 60\) students
4. **Students who earned a C**:  
   The remaining students = \(180 - 45 - 60 = 75\) students

So, 75 students earned a C for the course.

The correct answer is **75**.

Would you like any further details or have any questions? 

Here are some related questions:
1. What fraction of students earned either an A or a B?
2. How many students would earn a B if the total number of students was 240?
3. What percentage of students earned a C in this course?
4. If 10 students are added to the total, all of whom earn a C, how many students would have earned a C then?
5. If 30 students decided to drop the course, how many would have earned a C then?

**Tip**: Always check if you have accounted for all students when working with fractions or percentages of a total.

Discover how to calculate the number of students who earned a C in a college course with a step-by-step solution. This problem involves fractions and basic arithmetic, determining how many students out of 180 earned a C after given percentages for A and B grades.

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