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Math

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?

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  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

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