Respuesta :
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
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) [tex]h+s=20[/tex]
(2) [tex]4\times h=1[/tex]
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:
[tex]\text h+\text s=20[/tex]
The yarn used by h number of hats will be 0.2 [tex]\times[/tex] h.
The yarn used by s number of scarf will be 0.1[tex]\times[/tex] s.
As,
She wants twice as much as yarn used for scarves.
[tex]2\times 0.2\;\text h=0.1\times \text s\\0.4\; \text h=0.1\;\text s\\4\;\text h=1\;\text s[/tex]
Hence,The system of equations which represents the situation are:
- h+s=20
- 4[tex]\times[/tex]h=1
For more information visit:
https://brainly.com/question/13911928
