Question

555 grams of wool were needed to knit a sweater, a hat, and a scarf. The hat required 5 times less wool than the sweater and 5 grams more than the scarf. How many grams of wool did each item require?

Pls help!

Answer 1

80 grams for the hat

400 for the sweater

75 for the scarf

Explanation:

Answer 2

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