Kate used 555 grams of wool to knit a sweater, a hat, and a scarf. She used 5 times fewer grams for the hat than for the sweater. She used 5 grams more for the hat than for the scarf. How many grams of wool did she use to knit each item?

Sweater = 400 grams

Hat = 80 grams

Scarf = 75 grams

Step-by-step explanation:

The amount of wool used to make a sweater, a hat and a scarf=555 grams

Let the amount of wool used to make a sweater be = x

The amount of wool for the sweater = x/5

The amount of wool used for the scarf=x/5 - 5

Total amount of wool used = x + (x/5) + (x/5-5)

x+x/5 + x/5-5=555

Multiply all through by the LCM 5

5x+x+x-25=2775

7x=2800

x=400

Sweater = 400 grams

Hat=400/5=80 grams

Scarf = 400/5 - 5=75 grams