Answer:
The amount of wool required for a sweater was 400 grams.
A hat needed 80 grams of wool.
A scarf required 75 grams of wool.
Step-by-step explanation:
Let
x ------> grams of wool necessary for a sweater
y -----> grams of wool necessary for a hat
z -----> grams of wool necessary for a scarf
From the information given
x+y+z=555 -----> equation A
y=x/5 ----> x=5y -----> equation B
y=z+5 ---> z=y-5 ----> equation C
By substituting equations B and C into equation A, we can solve for y:
(5y)+y+(y-5)=555
7y=560
y=80 grams
Now, find x
x=5(80)=400 grams
Next, determine z
z=80-5=75 grams
In conclusion,
400 grams of wool was required for the sweater,
the hat needed 80 grams of wool, and
the scarf required 75 grams of wool.
