Question

At a party, everyone shook hands with everybody else. There were 120 handshakes. How many people were at the party?​

Answer 1

Answer:

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Step-by-step explanation:

If there are n people, there will be n(n - 1)/2 handshakes

Find n, given that there are 120 handshakes

n(n - 1)/2 = 120

n(n - 1) = 240

n² - n - 240 = 0

(n - 16) (n + 15)  = 0

n = 16 or n = - 15 (rejected, since number of people cannot be negative)

Answer: There are 16 people at the affair

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