2010 AMC 12B Problems/Problem 6
Problem 6
At the beginning of the school year, of all students in Mr. Wells' math class answered "Yes" to the question "Do you love math", and
answered "No." At the end of the school year,
answered "Yes" and
answered "No." Altogether,
of the students gave a different answer at the beginning and end of the school year. What is the difference between the maximum and the minimum possible values of
?
Solution
Clearly, the minimum possible value would be . The maximum possible value would be
. The difference is
.
See also
2010 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
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