+466 All triangles have the same value, and all circles have the same value. What is the sum of two circles?
\(\begin{align*} \Delta + \bigcirc + \Delta + \bigcirc + \Delta + \bigcirc + \Delta + \Delta&= 21\\ \bigcirc + \Delta+\bigcirc+\Delta+\bigcirc + \Delta + \bigcirc + \bigcirc &= 16\\ \bigcirc + \bigcirc &= \ \, ? \end{align*}\)
+73 We can label the traingles as $t$ and the circles as $c$ to get
$5t+3c=21$
$5c+3t=16$
as our system of equations. Since I am kind of sleepy today, I plugged this into Wolfram|Alpha and got
$t=\frac{57}{16}$
$c=\frac{17}{16}$
so,
$2c=\frac{34}{16}=\frac{17}{8}$.
