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Michael and Simon saved the same amount of money. Simon spent $120 buying a birthday gift for her friend. In the end, Michael had 4 times as much as Simon. How much did Michael have?$

Question

Michael and Simon saved the same amount of money. Simon spent 120buyingabirthdaygiftforherfriend.Intheend,Michaelhad4timesasmuchasSimon.HowmuchdidMichaelhave?120 buying a birthday gift for her friend. In the end, Michael had 4 times as much as Simon. How much did Michael have?

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Solution

Let's solve this step by step:

  1. Let's denote the amount of money that Michael and Simon saved as "x".

  2. After buying a birthday gift, Simon has "x - $120".

  3. According to the problem, Michael has 4 times as much as Simon, so we can write the equation: "x = 4 * (x - $120)".

  4. Solving this equation will give us the amount of money that Michael has.

  5. If we distribute the 4 in the equation, we get "x = 4x - $480".

  6. If we then subtract 4x from both sides of the equation, we get "-3x = -$480".

  7. Finally, if we divide both sides of the equation by -3, we get "x = $160".

So, Michael has $160.

This problem has been solved

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