What is \[\frac{2+4+6}{1+3+5} - \frac{1+3+5}{2+4+6}?\] $$\textbf{(A)}\ -1 \qquad \textbf{(B)}\ \frac{5}{36} \qquad \textbf{(C)}\ \frac{7}{12} \qquad \textbf{(D)}\ \frac{147}{60} \qquad \textbf{(E)}\ \frac{43}{3} $$
Tags: number,fractions
Source: AMC 10 2011 B Q1
Elo Rating: 1472.25
In triangle \(ABC\), \(\tan \angle CAB = 22/7\), and the altitude from \(A\) divides \(BC\) into segments of length 3 and 17. What is the area of triangle \(ABC\)?
Tags:
Source: AIME 1988 I Q7
Elo Rating: 1500.00