Difference between revisions of "2011 AMC 10B Problems/Problem 8"
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− | == Problem | + | == Problem== |
At a certain beach if it is at least <math>80^{\circ} F</math> and sunny, then the beach will be crowded. On June 10 the beach was not crowded. What can be concluded about the weather conditions on June 10? | At a certain beach if it is at least <math>80^{\circ} F</math> and sunny, then the beach will be crowded. On June 10 the beach was not crowded. What can be concluded about the weather conditions on June 10? | ||
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==Solution== | ==Solution== | ||
− | + | The beach not being crowded only means that it is not both hot and sunny. Equivalently, it is either cool or cloudy, which means <math>\boxed{\textbf{(B)}}</math> is correct. | |
− | + | It could be in fact cool and sunny, which would violate '''(A)''' and '''(E)'''. It could also be cool and cloudy, which would violate '''(D)''', or hot and cloudy, which would violate '''(C)'''. | |
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== See Also== | == See Also== | ||
{{AMC10 box|year=2011|ab=B|num-b=7|num-a=9}} | {{AMC10 box|year=2011|ab=B|num-b=7|num-a=9}} | ||
+ | {{MAA Notice}} |
Latest revision as of 20:04, 5 February 2018
Problem
At a certain beach if it is at least and sunny, then the beach will be crowded. On June 10 the beach was not crowded. What can be concluded about the weather conditions on June 10?
Solution
The beach not being crowded only means that it is not both hot and sunny. Equivalently, it is either cool or cloudy, which means is correct.
It could be in fact cool and sunny, which would violate (A) and (E). It could also be cool and cloudy, which would violate (D), or hot and cloudy, which would violate (C).
See Also
2011 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 10 Problems and Solutions |
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