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Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?

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francocanacari

Raymond's change was $ 4.

Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:

  • 1 / 2X = 3Y
  • X + 2 = 1 / 2Y
  • X = Y
  • 2 = 1 / 2Y
  • Y = 2 x 2
  • Y = 4

Therefore, Raymond's change was $ 4.

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