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!

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calculista calculista · Answer 1 · 2019-09-08T13:05:24+02:00

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

Step-by-step 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