Question

chevy has some yarn that he 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. chevy wants to use 2 kilograms of yarn to make a total of 15 items. let h be the number of hats chevy makes and s be the number of scarves he makes. which system of equations represents this situation? choose 1 answer: a \

$$\begin{cases} 0.1h + 0.2s = 15 \\\\ h + s = 2 \\end{cases}$$

b \

$$\begin{cases} 0.2h + 0.1s = 15 \\\\ h + s = 2 \\end{cases}$$

c \

$$\begin{cases} 0.2h + 0.1s = 2 \\\\ h + s = 15 \\end{cases}$$

Explanation:

Step1: Analyze the total items

The total number of items (hats + scarves) is 15. So, \( h + s = 15 \).

Step2: Analyze the yarn usage

Each hat uses 0.2 kg, each scarf uses 0.1 kg, and total yarn is 2 kg. So, \( 0.2h + 0.1s = 2 \).

Step3: Match with options

The system of equations should be \(

$$\begin{cases} 0.2h + 0.1s = 2 \\ h + s = 15 \end{cases}$$

\), which corresponds to option C.

Answer:

C. \(

$$\begin{cases} 0.2h + 0.1s = 2 \\ h + s = 15 \end{cases}$$

\)