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.

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