Difference between revisions of "2011 AMC 8 Problems/Problem 6"
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==Solution 3== | ==Solution 3== | ||
− | Note that since there are some adults that own both, we can eliminate answer choice <math>E</math>. It is fairly obvious that the answer must be in the 300 range, giving us <math>\boxed{\textbf{(D)}306}</math> | + | Note that since there are some adults that own both, we can eliminate answer choice <math>E</math>. It is fairly obvious that the answer must be in the 300 range, giving us <math>\boxed{\textbf{(D)}\ 306}</math> |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2011|num-b=5|num-a=7}} | {{AMC8 box|year=2011|num-b=5|num-a=7}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 19:42, 24 August 2020
Problem
In a town of adults, every adult owns a car, motorcycle, or both. If adults own cars and adults own motorcycles, how many of the car owners do not own a motorcycle?
Solution 1
By PIE, the number of adults who own both cars and motorcycles is Out of the car owners, of them own motorcycles and of them don't.
Solution 2
There are total adults, and own a motorcycle. The number of adults that don't own a motorcycle is . Since everyone owns a car or motorcycle and one who doesn't own a motorcycle owns a car, the answer is .
Solution 3
Note that since there are some adults that own both, we can eliminate answer choice . It is fairly obvious that the answer must be in the 300 range, giving us
See Also
2011 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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 AJHSME/AMC 8 Problems and Solutions |
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