SOLUTION: If 3/4 of a class is absent and 2/3 of those present leave the room. What fraction of the original class remains in the room?

Question 295603: If 3/4 of a class is absent and 2/3 of those present leave the room. What fraction of the original class remains in the room?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"If 3/4 of a class is absent", then of the class is present. Now since "2/3 of those present leave the room", this means that 1/3 of those present remain in the room. So simply multiply by to get the number of the people who remain the room. So

So of the original class remains in the room.

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Here's a concrete example: Say there are 600 kids. Now if "If 3/4 of a class is absent", then kids are absent and are present (in the beginning)

Now because "2/3 of those present leave the room", we know that kids leave the room. Because 150 kids showed up originally, this means that kids remain. Now just compute the ratio of the remaining 50 students to the total of 600 to get which is the fraction we originally found. So this example supports our answer.
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