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If I give my sister 5 dollars, then we will have the same amount of money. If instead she
gives me 8 dollars, then I'll have twice as much money as she has. How much money does she
have?

Respuesta :

mhanifa

Answer:

  • $44 and $34

Step-by-step explanation:

The amounts are x (me) and y (sister).

If I give my sister 5 dollars, then we will have the same amount of money:

  • x - 5 = y + 5 ⇒ x = y + 10

If she gives me 8 dollars, then I'll have twice as much money as she has:

  • x + 8 = 2(y - 8) ⇒ x + 8 = 2y - 16 ⇒ x = 2y - 24

Compare the equations and solve for y:

  • y + 10 = 2y - 24
  • 2y - y = 10 + 24
  • y = 34

Find x:

  • x = 34 + 10
  • x = 44

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