Difference between revisions of "2005 AMC 12B Problems/Problem 2"
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== Solution == | == Solution == | ||
| − | Since <math>x\text{%}</math> means <math>0.01x</math>, the statement "<math>x\text{ % of }x\text{ is 4}</math>" can be rewritten as "<math>0.01x \cdot x = 4</math>": | + | Since <math>x \text{%} </math> means <math>0.01x</math>, the statement "<math>x \text{ % of } x \text{ is 4}</math>" can be rewritten as "<math>0.01x \cdot x = 4</math>": |
<math>0.01x \cdot x=4 \Rightarrow x^2 = 400 \Rightarrow x = \boxed{20}.</math> | <math>0.01x \cdot x=4 \Rightarrow x^2 = 400 \Rightarrow x = \boxed{20}.</math> | ||
Revision as of 21:24, 26 November 2013
- The following problem is from both the 2005 AMC 12B #2 and 2005 AMC 10B #2, so both problems redirect to this page.
Problem
A positive number 
has the property that 
of is 
. What is ?
Solution
Since $x \text{%}$ (Error compiling LaTeX. Unknown error_msg) means 
, the statement "$x \text{ % of } x \text{ is 4}$ (Error compiling LaTeX. Unknown error_msg)" can be rewritten as "
":
See also
| 2005 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 | ||
| 2005 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 1 |
Followed by Problem 3 |
| 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 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
