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Here are 10 students getting honors credits in a class, and they make up 20% of the class. How do we find the number of students in the class? Let's look. We have a class, and 20% of the class are getting 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 we know or are finding out. Nclass = number of students in the class. Nhonors = number of honors students in the class. And Nhonors = 10 students. Nclass x 20% = 10 students 20% = 20/100ths (because % = hundredths) or 0.20 or just 0.2 for simplicity. Nclass x .2 = 10 students Now divide both sides by .2 so the .2 will cancel out (or drop out) on the left side of the equation and we'll have isolated the answer we are looking for, which is Nclass. Nclass = 10 students divided by .2 Nclass = 10/.2 students = 50 students There are 50 students in the class. As .2 equals 2/10 or 1/5, we can find 1/5th of 50 just by thinking about it to check our work. And 1/5th of 50 equals 10, which is in agreement with the information we were given in the problem.

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Q: 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?
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