Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. She wants to make 3 times as many scarves as hats and use 5 kilograms of yarn

s = 3h

0.2h + 0.1s = 5

10 Hats

30 Scarfs

Step-by-step explanation:

As given in the question, h = the number of hats Kaelyn makes and s = the number of scarves she makes.

Hat = 0.2 kg of yarn

Therefore, yarn used in Hats = 0.2h kg

Each scarf = 0.1 kg of yarn

Yarn used in scarfs = 0.1s kg

i. 0.1s + 0.2h = 5

ii. s = 3h

Substituting equation ii into i,

0.3h + 0.2h = 5

0.5h = 5

= 10

Therefore, scarf, s = 3 * 10

= 30

10 Hats

30 Scarfs