SOLUTION: at a party , exactly 17 people ate pizza , and exactly 11 people ate hot dogs Eight of them ate both. Four people ate neither. The number of people at the party was (a) 21

Question 237605: at a party , exactly 17 people ate pizza , and exactly 11 people ate hot dogs
Eight of them ate both. Four people ate neither. The number of people at the party was
(a) 21 (b) 24 (c) 28 (d) 32 (e) 40

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
17 ate pizza
11 ate hotdors
4 ate neither
8 ate both.

you have 17 + 11 + 4 = 32

out of the 17 + 11, 8 are counted twice so you have to subtract 8.

you have 32 - 8 = 24

4 did not eat any hotdogs or pizza
9 ate only pizza (17-8)
3 ate only hotdogs (11-8)
8 ate both pizza and hotdogs

4 + 9 + 3 + 8 = 24

Looks like that's your number.

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