A poll of students showed that 50 percent liked basketball, 40 percent liked soccer, 40 percent liked football, 25 percent liked both basketball and soccer, 20 percent liked both soccer and football, 15 percent like both basketball and football, and 10 percent liked all three sports. What percent of students like only one sport? What percentage does not like any of the three sports?

Question

Mathematics

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11 September, 09:23

A poll of students showed that 50 percent liked basketball, 40 percent liked soccer, 40 percent liked football, 25 percent liked both basketball and soccer, 20 percent liked both soccer and football, 15 percent like both basketball and football, and 10 percent liked all three sports. What percent of students like only one sport? What percentage does not like any of the three sports?

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Answers (1)

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Callum Mason · Answer 1

Let's say 100 students were polled. Then the total amounts are:

45+40+45=130

Then we subtract the amount who liked two sports:

15+2+25=42

130-42=88

Subtracting again for the students who liked all three, we have:

88-10=78

So we have 78% students who liked at least one sport, leaving us with 22% who didn't like any sport!