Difference between revisions of "2010 AMC 12B Problems/Problem 6"
(Created page with '== Problem 6 == At the beginning of the school year, <math>50\%</math> of all students in Mr. Wells' math class answered "Yes" to the question "Do you love math", and <math>50\%<…') |
|||
| Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
| − | Clearly, the minimum possible value would be <math>70 - 50 = 20\%</math>. The maximum possible value would be <math>30 + 50 = 80\%</math>. The difference is <math>80 - 20 = 60</math> <math>D</math>. | + | Clearly, the minimum possible value would be <math>70 - 50 = 20\%</math>. The maximum possible value would be <math>30 + 50 = 80\%</math>. The difference is <math>80 - 20 = 60</math> <math>(D)</math>. |
| + | |||
| + | == See also == | ||
| + | {{AMC12 box|year=2010|num-b=12|num-a=14|ab=B}} | ||
Revision as of 17:49, 9 July 2010
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 
answers "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 12 |
Followed by Problem 14 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
