Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and
each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she
wants to make a total of 20 items.
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Which system of equations represents this situation?

Respuesta :

Elliot made 10 hats and 10 scarves from the yarn of cloth.

Equations

Equation show the relationship between variables.

Let h represent the of hats and s represent the number of scarfs.

Elliott wants to use twice as much yarn for scarves as for hats, hence:

0.2s = 2(0.1)h

  • s - h = 0    (1)

Also, she  wants to make a total of 20 items. Therefore:

  • s + h = 20     (2)

Solving equations 1 and 2 simultaneously gives:

s = 10, h = 10

Therefore Elliot made 10 hats and 10 scarves from the yarn of cloth.

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Answer:

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Step-by-step explanation: