Question

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a

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?​

Answer 1

h + s = 15

2h + s = 20

Explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

So amount of yarn used to make "h" scarves = 0.1s kilograms

Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20