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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.