From the course: Preparing for the GMAT
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Overlapping set problems
- [Instructor] So the GMAT likes to write problems in which two or more sets of things overlap, then asks you questions about how many items or people are in parts of those sets. Let's take a look at a basic overlapping sets word problem. Let's see, so after surveying my friends about the foods they'd eaten in the past week, 35 said they'd eaten pizza, 25 said they'd eaten a burger, and 18 said they'd eaten sushi. If all of my friends ate at least one of the three foods, six friends ate both a burger and sushi, 10 friends ate both pizza and a burger, and none of my friends ate both pizza and sushi, how many of them ate only one of those three foods? Okay, that's a lot to digest, right? We don't want to try to remember all that at once, so a handy way to do this is to kind of represent things with a Venn diagram. So we have three sets, so I'm going to draw three circles, and they are all going to be overlapping. Okay, so I'm going to label these circles so I can keep them straight…
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