Henry, Brian and Colin share some sweets in the ratio 5:4:2. Henry gets 15 more sweets than Colin. How many sweets does Brian get?

Question

Henry, Brian and Colin share some sweets in the ratio 5:4:2. Henry gets 15 more sweets than Colin. How many sweets does Brian get?

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Kennedy 1 week 2021-09-15T04:48:19+00:00 1 Answer 0

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    2021-09-15T04:49:45+00:00

    Answer:

    20 sweets.

    Step-by-step-explanation:

    Let Colin have x sweets.

    The Henry gets x+15 sweets

    Then according to the ratios:

    5/2 = x+15/x

    5x = 2x + 30

    3x = 30

    x = 10.

    So Colin has 10 sweets.

    The ratio of Brian’s sweets to Colin’s  sweets  is  4: 2 or 2:1.

    So Brian has 2 * 10 = 20 sweets.

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