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Emily and Sarah had a total of $80. After Sarah spent 1/3 of her money and Emily spent $17, Emily had twice as much money as Sarah. How much more money did Emily have than Sarah at first?
E = 2S (Because Emily has double Sarah) E -> E + 17 (To make up the $17 she spent) 2S -> 3S (Because 2S is two thirds the amount Sarah had, as she spent a third) E + 17 + 3S = 80 (Because their original amounts were equal to $80) E + 3S = 63 (Simplifying equation)
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