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2 December, 17:11

John took all his money from his savings account. He spent $72 on a radio and two thirds of what was left on presents for his friends. John then put five twelfths of his remaining money into a checking account and donated the $140 that was left to charity. How much money did john originally have in his savings account

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  1. 2 December, 18:02
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    Let us assume amount of money John originally have in his savings account = $x

    Money spent on a radio = $72.

    Reamining money = x-72.

    Money spent on presents for his friends = Two third of remaining money = 2/3 (x-72).

    (Because 1 - 2/3 = 1/1 - 2/3 = 1/3)

    Reamining money = 1/3 (x-72).

    Five twelfths of his remaining money into a checking account = 5/12 * 1/3 (x-72).

    (becasue 1 - 5/12 = 1/1 - 5/12 = 7/12)

    Reamining money = 7/12 * 1/3 * (x - 72).

    Final remaining money = 7/12 * 1/3 * (x - 72) and that is equal to the money donated to charity.

    We can setup an equation now.

    7/12 * 1/3 * (x - 72) = 140.

    7/36 (x-72) = 140.

    Multiplying both sides by 36.

    36 * 7/36 (x-72) = 140 * 36

    7 (x-72) = 5040.

    Dividing both sides by 7, we get

    7 (x-72) / 7 = 5040/7

    x-72 = 720

    Adding 72 on both side, we get

    x-72+72 = 720+72.

    x = 792.

    Therefore, john originally have $792 in his savings account.
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