Question

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and

Answer 1

Answer:

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

Answer 2

Answer:

$\left\{\begin{array}{l}h+s=20\\ \\0.1s=2\cdot 0.2h\end{array}\right.$

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes. She wants to make a total of 20 items, so

$h+s=20$

Each hat uses 0.2 kilograms of yarn, then h hats use 0.2h kg of yarn. Each scarf uses 0.1 kilograms of yarn, then s scarves use 0.1s kg of yarn. Elliott wants to use twice as much yarn for scarves as for hats, so

$0.1s=2\cdot 0.2h$

You get the system of two equations:

$\left\{\begin{array}{l}h+s=20\\ \\0.1s=2\cdot 0.2h\end{array}\right.$