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P.o.t.W. #18 Solution

Let \(a be the total number of autographs that Alicia has in her collection; and let the fraction of autographs in box #2 be represented by \(\dfrac{x}{7} . Clearly, \(a and \(x must both be positive integers. Then, \(\dfrac{1}{5}a + \dfrac{x}{7}a + 303 = a Solve for \(a in terms of \(x : \(35\left( {\dfrac{1}{5}a + \dfrac{x}{7}a + 303} \right) = 35a\;\;\; \Rightarrow \;\;\;7a + 5xa + 10605 = 35a...

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