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Tournament Of Towns
1996 Tournament Of Towns
(494) 1
(494) 1
Part of
1996 Tournament Of Towns
Problems
(1)
TOT 494 1996 Spring S O1 bettere precident
Source:
8/16/2024
People are asked “Do you think that the new president will be better than the most recent one?” Suppose
a
a
a
people say “better”,
b
b
b
say “the same” and
c
c
c
“worse”. Sociologists then calculate two measures of “social optimism”:
m
=
a
+
b
2
m =a + \frac{b}{2}
m
=
a
+
2
b
and
n
=
a
−
c
n = a - c
n
=
a
−
c
. Suppose exactly
100
100
100
people respond to this survey and it turns out that
m
=
40
m = 40
m
=
40
. Find
n
n
n
. (A Kovaldji)
algebra