Questions: There are 3 counselors for every 45 students enrolled in a camp. What is the maximum number of students allowed if there are 10 counselors? A. 15 B. 135 C. 150 D. 300

Solution Steps

To solve the problem of determining the maximum number of students allowed if there are 10 counselors, we need to first find the ratio of students to counselors from the given data. Then, we can use this ratio to calculate the number of students that can be accommodated with 10 counselors.

From the problem, we know that there are 3 counselors for every 45 students. Therefore, the ratio of students per counselor can be calculated as: \[ \text{students per counselor} = \frac{45}{3} = 15 \]

Given that there are 10 counselors, we can find the maximum number of students allowed by multiplying the number of counselors by the number of students each counselor can handle: \[ \text{max students} = 10 \times 15 = 150 \]

Final Answer