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30 September, 23:50

Kyla used 550 grams of wool to knit a sweater, a hat, and a scarf. For the hat she used 5 times less wool than the sweater and 5 grams more than the scarf. How much did each item require.

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  1. 1 October, 02:09
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    This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;

    Let the amount of wool used for hat be x

    amount of wool in sweater will be 5x

    the amount of wool used in scarf will be x-5

    therefore the total amount of wool will be:

    x+5x + (x-5) = 550

    x+5x+x-5=550

    7x-5=550

    7x=550+5

    7x=555

    hence;

    x=555/7

    x=79

    the amount used in hat x=79g

    amount used in sweater 5x=395g

    amount used in scarf=79-5=74g
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