2007 AMC 8 Problems/Problem 13
Contents
[hide]Problem
Sets and , shown in the Venn diagram, have the same number of elements. Their union has elements and their intersection has elements. Find the number of elements in .
Solution
Let be the number of elements in and which is equal.
Then we could form equation
.
The answer is
Solution 2
Let be the number of elements in not including the intersection. total elements excluding the intersection. Since we know that , we can find that . Now we need to add the intersection. .
Video Solution by WhyMath
~savannahsolver
Video Solution
https://www.youtube.com/watch?v=6F9x1XBOAeo
See Also
2007 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.