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Peter and Tom had a total of $950. After Peter saved another $250 and Tom spent 2/5 of his money, both of them had the same amount of money. How much did Peter had at first?

 Nov 5, 2021
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Write out the 2 equations:

  1. P + T = 950
    • T = 950 - P
  2. P + 250 = 2/5 T

Subsititue T:

  • P + 250 = 2/5 (950 - P)

  • P + 250 = 380 - 2/5P

  • P = 130 - 2/5P

  • 5/5P + 2/5P = 130

  • 7/5P = 130
  • P = $92.86

 

Check:

Solve for T:

  • T = 950 - 92.86 = $857.14

Validation:

  • 92.86 + 250 = 342.86
  • 2/5 * 857.14 = 342.86
 Nov 6, 2021

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