Question

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20, point, 2 kilograms of yarn and each scarf uses 0.10, point, 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 202020 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?

Answer 1

Answer:

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20, point, 2 kilograms of yarn and each scarf uses tt wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 202020 items.

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Which system of equations

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20, point, 2 kilograms of yarn and each scarf uses 0.10, point, 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 202020 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?

Answer 2

The system of equations that represents the situation is:

The system of equations that represents the situation is:h + 3s = 6060

The system of equations that represents the situation is:h + 3s = 6060h + s = 2020

Given:

Elliott wants to use some yarn to make hats and scarves.

Each hat uses 0.20, point, 2 kilograms of yarn and each scarf uses 0.10, point, 1 kilograms of yarn.

Elliott wants to use twice as much yarn for scarves as for hats.

Elliott wants to make a total of 202020 items.

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

To find:

The system of equations that represents the situation.

Solution:

• Let the amount of yarn used for hats be x kg.
• Then, the amount of yarn used for scarves is 2x kg.
• The total amount of yarn used is x + 2x = 3x kg.
• The number of hats Elliott makes is h.
• The number of scarves Elliott makes is s.
• The total number of items Elliott makes is h + s = 2020.
• The amount of yarn used for hats is 0.20, point, 2h kg.
• The amount of yarn used for scarves is 0.10, point, 1s kg.
• The total amount of yarn used is 3x kg.
• Equating the amount of yarn used for hats and scarves, we get:
• 0.20, point, 2h = 0.10, point, 1s

Substituting x = 0.10, point, 1h into the equation in step 3, we get:

3x = 0.30, point, 3h

Substituting s = 2020 - h into the equation in step 11, we get:

3x = 0.30, point, 3h = 0.10, point, 3(2020 - h)

Simplifying step 12, we get:

h + 3s = 6060

Substituting s = 2020 - h into the equation in step 6, we get:

h + (2020 - h) = 2020

Simplifying step 14, we get:

h = 1010

Substituting h = 1010 into the equation in step 12, we get:

s = 670

Therefore, the system of equations that represents the situation is:

Therefore, the system of equations that represents the situation is:h + 3s = 6060

Therefore, the system of equations that represents the situation is:h + 3s = 6060h + s = 2020

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