Let x grams used for sweater.
Then since hat required 5 times less wool than sweater
wool used for hat = x/6 (since 5 times less)
Scarf wool=wool for hat - 5
= x/6 -5
Total wool used = wool for sweater + hat + scarf
= x+x/6+x/6-5
Given total wool used = 555 gms.
i.e. x+x/6+x/6-5 = 555
8x/6= 560
x = 560(6/8) = 420
i.e. For sweater = 420 gm of wool
for hat = 70 gm of wool
and for scarf = 65 gm of wool were used.
