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Kate used 555 grams of wool to knit a sweater, hat, and scarf. She used 5 times less grams for the hat than for the sweater. She used 5 more grams for the hat than for the scarf. How many grams of wool did she use to knit for each?
(Give explanation)

Sagot :

ecanada12

Answer:

Sweater: 392 [tex]\frac{6}{7}[/tex]

Hat: 78[tex]\frac{4}{7}[/tex]

Scarf: 83[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Set the sweater = x

The hat = [tex]\frac{1}{5}[/tex] x

The scarf = [tex]\frac{1}{5}[/tex] x + 5

x + [tex]\frac{1}{5}[/tex] x + [tex]\frac{1}{5}[/tex] x + 5 = 555

Combine like terms

1[tex]\frac{2}{5}[/tex] x + 5 = 555

Subtract 5 from both sides

1[tex]\frac{2}{5}[/tex] x = 550

Divide by 1[tex]\frac{2}{5}[/tex]

x = 392 [tex]\frac{6}{7}[/tex] This is how much wool was used for the sweater.

Divide by 5 to get the hat = 78 [tex]\frac{4}{7}[/tex]

Add 5 to that to get the scarf: 83[tex]\frac{4}{7}[/tex]

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