Question

There are 6 students sitting on the bleachers and 28 students sitting on the floor. What is ratio of the number of students sitting on the bleachers to the total number of students? Write your answer as two numbers separated by a colon (for example, 2:3).

Answer 1

The ratio of the number of students on the bleachers to the total number of students is found by dividing the number on the bleachers by the total count, which is 6 out of 34. This simplifies to a ratio of 3:17.

Step-by-step explanation:

To find the ratio of the number of students sitting on the bleachers to the total number of students, we first need to find the total number of students. We are given that 6 students are on the bleachers and 28 students are on the floor. So, the total number of students is 6 (from the bleachers) + 28 (from the floor) = 34 students in total.

Now, the ratio of the number of students on the bleachers to the total number of students is the number on the bleachers divided by the total number. This ratio is 6:34. However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 2. So after simplifying, we get a ratio of 3:17.

In essence, the ratio provides a way to represent the scale distance or dimensions of students on the bleachers compared to the total student count, akin to how we might compare other quantities like unit rates or scale factors.