Question

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn.
Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes.
Which system of equations represents this situation?

Answer 1

Given :  Kaelyn has some yarn that she wants to use to make hats and scarves  . Each hat uses 0.20 kg yarn and  each scarf uses 0.10 kg . 3 times scarves as hat & total Yarn = 5 kg

To find : Number of scarves & Hats

Solution:

Let h  be the number of hats Kaelyn makes

Each hat uses 0.2 kg  of  yarn

so total yarn used in Hats= 0.2h  kg

Let s be the number of scarves she makes

Each scarf uses = 0.1 kg of yran

so total yarn used in scarfs = 0.1s

0.1s + 0.2h  = 5

s = 3h

=> 0.3h  + 0.2h = 5

=> 0.5h = 5

=> h = 10

S = 3h = 30

Scarves = 30

Hats = 10

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