Answer:
The grams of wool needed to knit a sweater was 400 grams
The grams of wool needed to knit a hat was 80 grams
The grams of wool needed to knit a scarf was 75 grams
Explanation:
Let
x ------> grams of wool needed to knit a sweater
y -----> grams of wool needed to knit a hat
z -----> grams of wool needed to knit a scarf
we know that
x+y+z=555 -----> equation A
y=x/5 ----> x=5y -----> equation B
y=z+5 ---> z=y-5 ----> equation C
substitute equation B and equation C in equation A and solve for y
(5y)+y+(y-5)=555
7y=555+5
7y=560
y=80 grams
Find the value of x
x=5(80)=400 grams
Find the value of z
Z=80-5=75 grams
therefore
The grams of wool needed to knit a sweater was 400 grams
The grams of wool needed to knit a hat was 80 grams
The grams of wool needed to knit a scarf was 75 grams