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2 March, 23:45

Ratio question: Paul and Luke share some money in the ratio 4:7. Paul gets £12 less than Luke. How much did they have in total?

Need to use bar model.

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  1. 2 March, 23:47
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    P/L=4/7 and P=L-12 so

    (L-12) / L=4/7 multiply both sides by 7

    (7L-84) / L=4 multiply both sides by L

    7L-84=4L subtract 4L from both sides

    3L-84=0 add 84 to both sides

    3L=84 divide both sides by 3

    L=28, and since P=L-12

    P=16

    So they had 28+16 = £44 in total.
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