Printable

2010 AMC 10B Problem 12

Include the solution Back to the problem

2010 AMC 10B Problem 12AMC 10 Step by Step

Name: Date: September 13, 2026

Sets, Estimation & Miscellaneous · difficulty 3 of 5 · about 3 min · position P11-15

At the beginning of the school year, $50\%$ of all students in Mr. Wells' math class answered "Yes" to the question "Do you love math", and $50\%$ answered "No." At the end of the school year, $70\%$ answered "Yes" and $30\%$ answered "No." Altogether, $x\%$ 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 $x$ ?

A)
$0$
B)
$20$
C)
$40$
D)
$60$
E)
$80$

2010 AMC 10B Problem 12

Working