MathDB

People are asked “Do you think that the new president will be better than the most recent one?” Suppose

a

people say “better”,

b

say “the same” and

c

“worse”. Sociologists then calculate two measures of “social optimism”:

m =a + \frac{b}{2}

and

n = a - c

. Suppose exactly

100

people respond to this survey and it turns out that

m = 40

. Find

n

.
(A Kovaldji)

Problem Statement