There are 120 diplomats at a gala. Every diplomat is either a spy or a civilian. You know that any time two diplomats shake hands, at least one of them is a spy. Assuming at this gala everyone shakes hands with everyone else, how many civilians are in attendance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.6: Ratios And Proportions
Problem 40PPS
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There are 120 diplomats at a gala. Every diplomat is either a spy or a civilian. You know that any time two diplomats shake hands, at least one of them is a spy. Assuming at this gala everyone shakes hands with everyone else, how many civilians are in attendance?

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