Holiday Feast
At a holiday dinner party, the menu consisted of the following items: Turkey, Mashed Potatoes, Pumpkin Pie, and Cake.
90% had Turkey
80% had Mashed Potatoes
70% had Pumpkin Pie
60% had Cake
Everyone had at least one item, and no one had all four items.
What percentage of people had at least one of the two desserts?
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1 solution
90% + 80% + 70% +60% = 300%
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90 + 80 + 70 + 60 = 300 people
So, some people must have been counted multiple times (duplicates or triplicates)
Because 300 / 100 = 3, we know that everyone was counted exactly 3 times.
If everyone was counted 3 times, that means that everyone had 3 items.
So, everyone had both desserts.