2007 AMC 8 Problems/Problem 13: Difference between revisions
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==See Also== | |||
{{AMC8 box|year=2007|num-b=12|num-a=14}} | |||
Revision as of 22:41, 12 November 2012
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 .
Since the union is the sum of all elements in and ,
and and have the same number of elements then,
.
The answer is 
See Also
| 2007 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions | ||
