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

s = 3h

0.1s + 0.2h = 5

h = 10

s = 30

Explanation:

Given that :

Hat :

0.2kg of yarn

Let Number of hats = h

Kg of yarn used for hat = 0.2 * h = 0.2h

Scarf:

0.1 kg of yarn

Number of scarves (s) = s

Kg of yarn used for scarf = 0.1 * s = 0.1s

Total kg of yarn used = 5 kg

Number of Scarf = 3 times number of hats :

s = 3h - - (1)

0.1s + 0.2h = 5 - - (2)

From 1:

0.1(3h) + 0.2h = 5

0.3h + 0.2h = 5

0.5h = 5

h = 10

s = 3h

s = 3(10) = 30