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29 October, 13:53

Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?

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  1. 29 October, 14:06
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    45 sweets.

    Step-by-step explanation:

    Gavin gets 7 (7+3+2) = 7/12 of the sweets.

    Dan gets 2 / 12 so Gavin gets 7/2 times as much as Dan

    Let Dan get x sweets then

    x + 75 = 7x / 2

    7x/2 - x = 75

    5x/2 = 75

    x = 75 * 2/5 = 30 sweets.

    So Dan gets 30 sweets, Gavin gets 105 sweets and Colin gets 3/2 * 30

    = 45 sweets.
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