555 grams of wool were needed to knit a sweater, a hat and a scarf. the hat required 5 times less wool than th sweater and 5 grams more than the scarf. how many grams of wool did each item require. answer quickk

Let x = hat (because the hat is 5x LESS wool)

Let 5x = sweater (because it is 5x MORE wool than the hat)

Let x - 5 = scarf (because it is 5 g LESS than the amount for hat)

Now set up equation. Everything added must be equal to 555g which were used.

x + 5x + (x-5) = 555

6x + x - 5 = 555

7x -5 = 555

7x = 560

x = 80

Use PEMDAS above; you are in college so I assume you didn't need a step-by-step.

Now plug in x for each item.

x = grams for hat and x = 80.

5x = grams for sweater and 5(80) = 400

x-5 = grams for scarf and 80 - 5 = 75

Now check. 75 + 400 + 80  = 555? Yes, it does.

So, 75 g for scarf, 80 g for hat, and 400 g for sweater.

I hope this is what you were looking for.

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5