Rael and Ethan had some coins in the ratio of 11:6. Ethan and Sean had some coins in the ratio of 2:1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?

Answer 1

So, if Sean started out with 3x coins, then
Ethan had 6x
Rael had 11x
Now we know that
11x-112 = 1/2 * 6x
so x = 14
Sean ended up with 42 + 112 = 154 coins