Question

All the students in a school were weighed. Their average weight was 30.8 kilograms, and their total weight was 16,293.2 kilograms. How many students are in the school?

Answer 1

Answer: 529 students

Step-by-step explanation:

To solve this, we will be using the formula for finding averages:

> (total sum of student weights) ÷ (total sum of students) = (average of student weights)

Plugging in the values that are given in the problem, you get:

> 16,293.2 ÷ x = 30.8

Where x is equal to the total sum of students. From here, it's a simple equation to isolate x, and find out what numerical value x is equal to. In case you are unsure how to do this, I've created a clear step by step process for how to do this (NOTE: The slash represents division, while the asterisk represents multiplication.):

> 16,293.2 / x = 30.8

> (16,293.2 / x) * x = (30.8) * x

> 16,293.2 = 30.8 * x

> (16,293.2) / 30.8 = (30.8 * x) / 30.8

> 529 = x

In total, there are 529 students in the school.