Difference between revisions of "2014 AMC 10B Problems/Problem 7"
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Suppose <math>A>B>0</math> and A is <math>x</math>% greater than <math>B</math>. What is <math>x</math>? | Suppose <math>A>B>0</math> and A is <math>x</math>% greater than <math>B</math>. What is <math>x</math>? | ||
| − | <math> \textbf {(A) } 100(\frac{A-B}{B}) \qquad \textbf {(B) } 100(\frac{A+B}{B}) \qquad \textbf {(C) } 100(\frac{A+B}{A})\qquad \textbf {(D) } 100(\frac{A-B}{A}) \qquad \textbf {(E) } 100(\frac{A}{B})</math> | + | <math> \textbf {(A) } 100\left(\frac{A-B}{B}\right) \qquad \textbf {(B) } 100\left(\frac{A+B}{B}\right) \qquad \textbf {(C) } 100\left(\frac{A+B}{A}\right)\qquad \textbf {(D) } 100\left(\frac{A-B}{A}\right) \qquad \textbf {(E) } 100\left(\frac{A}{B}\right)</math> |
==Solution== | ==Solution== | ||
Revision as of 20:10, 13 October 2018
Problem
Suppose 
and A is 
% greater than 
. What is ?
Solution
We have that A is 
greater than B, so 
. We solve for . We get
. 
See Also
| 2014 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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 | ||
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