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?

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

The yarn used by h number of hats and The yarn used by s number of scarf. hence, the system of equations which represents the situation are:

(1)

(2)

Given information:

The yarn used to make one hat is 0.2 kg.

Total number of items made is 20

Now, let the number of hats Elliot made = h

And , number of scarves Elliot made = s

According to the question:

The yarn used by h number of hats will be 0.2 h.

The yarn used by s number of scarf will be 0.1 s.

As,

She wants twice as much as yarn used for scarves.

Hence,The system of equations which represents the situation are:

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