Question

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses
\[0.2\] kilograms of yarn and each scarf uses
\[0.1\] kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of
\[20\] items.
Let
\[h\] be the number of hats Elliott makes and
\[s\] be the number of scarves she makes.
Which system of equations represents this situation?

Answer 1

Let h = number of hats, s = number of scarves.

Total items: h + s = 20.

Twice as much yarn for scarves as for hats:
0.1s = 2(0.2h) = 0.4h, which simplifies to s = 4h.

So the system is
h + s = 20
s = 4h.