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30 December, 23:18

Adam has £500 Beth has £130 Adam gives some money to Beth. He now has twice as much money as Beth. What percentage of his money did he give away?

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  1. 30 December, 23:36
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    Adam = £500

    Beth = £130.

    Let the money Adam gives Beth be x.

    So Adam would have 500 - x.

    Beth would then have 130 + x.

    Adam now has twice as much as Beth.

    500 - x = 2 * (130 + x)

    500 - x = 2*130 + 2*x

    500 - x = 260 + 2x

    - x - 2x = 260 - 500

    -3x = - 240

    x = - 240/-3

    x = 80

    So Adam gave £80 to Beth.

    To find the %: (80 / 500) * 100%. Use your calculator.

    = 16 %.

    So Adam gave away 16% of his money to Beth.
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