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# There are 10 students receiving honors credit in a class. This number is exactly 20 percent of the total number of students in the class. How many students are in the class?

William Cain

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Carlton Burgess on October 11, 2018

Here are 10 students getting honors credits in a class, and constitute 20% of the class. How to find the number of students in the class? Let's see.. We have a class, and 20% of the class are to receive the honors credit, and that turns out to be 10 students. Now we can generate a formula that we can use to discover our answer. Let's assign letters to the things that we know or are finding. Class N = number of students in the class. N honors = the number of honors students in the class. And N honors = 10 students.. N class x 20% = 10 students. 20% = 20/100 (because % = hundredths) or 0.20 or just 0.2 for simplicity.. N class x .2 = 10 student. Now divide both sides by .2 so the .2 will cancel out (or) in the left-hand side of the equation and you'll have isolated the answer we are looking for, which is the class N .. N class = 10 students divided .2. School N = 10/.2 students = 50 students . There are 50 students in the class. As .2 is equal to 2/10, or 1/5, we can find 1/5 of 50 just by thinking about it to check our work. And 1/5 of 50 is 10, which is in agreement with the information that they give us in the problem.