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22 August, 00:23

Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £20. How much did they win in total

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  1. 22 August, 00:24
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    They won £30 in total

    Step-by-step explanation:

    ∵ Sara and Gordon win some money

    ∵ They share it in the ratio 2 : 1

    ∵ Sara gets £20

    - To solve the problem lets use the ratio method

    → Sara : Gordon

    → 2 : 1

    → 20 : x

    By using cross multiplication

    ∵ 2 * x = 1 * 20

    ∴ 2 x = 20

    - Divide both sides by 2

    ∴ x = 10

    ∵ x represents the share of Gordon

    ∴ Gordon gets £10

    - Add their shares to find the total

    ∴ The total = 20 + 10 = 30

    ∴ They won £30 in total
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