Difference between revisions of "2011 AMC 8 Problems/Problem 6"
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− | In a town of 351 adults, every adult owns a car, motorcycle, or both. If 331 adults own cars and 45 adults own motorcycles, how many of the car owners do not own a motorcycle? | + | In a town of <math>351</math> adults, every adult owns a car, motorcycle, or both. If <math>331</math> adults own cars and <math>45</math> adults own motorcycles, how many of the car owners do not own a motorcycle? |
− | <math> \ | + | <math>\textbf{(A)}\ 20 \qquad \textbf{(B)}\ 25 \qquad \textbf{(C)}\ 45 \qquad \textbf{(D)}\ 306 \qquad \textbf{(E)}\ 351</math> |
==Solution== | ==Solution== | ||
+ | |||
+ | By [[PIE]], the number of adults who own both cars and motorcycles is <math>331+45-351=25.</math> Out of the <math>331</math> car owners, <math>25</math> of them own motorcycles and <math>331-25=\boxed{\textbf{(D)}\ 306}</math> of them don't. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2011|num-b=5|num-a=7}} | {{AMC8 box|year=2011|num-b=5|num-a=7}} |
Revision as of 19:02, 25 November 2011
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
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.
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 |