Question

Ruby had 5 times as much money as Sally. Ruby spent $80 and Sally had 3/7 as much as Ruby in the end. How much did Ruby have at first?
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Answers

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Let x = Ruby's initial amount of money

5x = Sally's initial amount of money

5x - 80 = Sally's amount after Ruby spent $80

5x - 80 = (3/7)(5x)

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

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7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

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7(5x - 80) = 15x

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7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15x

7(5x - 80) = 15

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