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 !

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

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116