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Mrs. Grady surveyed 30 students, 12 of which said they liked basketball, 19 of which said they liked hockey, and 4 of which said they liked both sports. (a) How many students did not like either sport?(b) How many students liked exactly one of the sports?

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  1. RagingSquirrel
    • one year ago
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    Let's do (b) first. You have 2 choices on the survey 1. Basketball 2.Hockey 4 people liked both sports. That means that 4 people circled both. Remove those from your totals. Now, you have 15 pure hockey fans and 8 pure basketball fans. Add 8 to 15 and you have 23 students who only like one sport. Now let's do (a). You have a total of 35 circles on your list. 8 of them are from the 4 "both" people. Remove those. Now there's 27 circles. Remember how there are 23 students who like one sport? Remove those. You now have 4 people who didn't circle anything.

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