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Susan had $120 and Patrick had twice as much money as her at first. Susan received some money and Patrick spent some money. The amount Susan received was 3 times as much as the amount Patrick spent. They had the same amount of money in the end. How much did Susan receive ? ​

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lucky75

Given :-

  • Susan had $120

  • Patrick had twice money at first

  • Susan recived and Patrick spent some money

  • The amount Susan received was 3 times as much as the amount Patrick spent

  • At last they have same amount

To Find :-

  • Money Susan recived

Solution :-

At first Patrick had twice of Susan.

Hence,

He have 2 × 120 = $240

Let the money received be x

  • x + 120 = 3(240 - x)
  • x + 120 = 720 - 3x
  • 3x + x = 720 - 120
  • 4x = 720 - 120
  • 4x = 600
  • x = 600/4
  • x = 150

[tex]\therefore \bold{Susan \: had\:received \: 150\$}[/tex]

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