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?
<h3><em><u>Answer:</u></em></h3><em><u>The system of equations represents this situation are:</u></em>
h + s = 15
0.2h + 0.1s = 2
5 hats and 10 scarves are made
<h3><u><em>Solution:</em></u></h3>From given,
Let "h" be the number of hats Chevy made
Let "s" be the number of scarves made
<em><u>They made a total of 15 items</u></em>
Therefore, we get,
h + s = 15 --------- eqn 1
Also given that,
Each hat uses 0.2 kilograms of yarn
Each scarf uses 0.1 kilograms of yarn
<em><u>Chevy wants to use 2 kilograms of yarn</u></em>
<em><u>Therefore, we frame a equation as:</u></em>
0.2h + 0.1s = 2 --------- eqn 2
Thus eqn 1 and eqn 2 represents the system of equations
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>From eqn 1,</u></em>
h = 15 - s ------ eqn 3
Substitute eqn 3 in eqn 2
0.2(15 - s) + 0.1s = 2
3 - 0.2s + 0.1s = 2
0.1s = 1
s = 10
<em><u>Substitute s = 10 in eqn 3</u></em>
h = 15 - 10
h = 5
Thus 5 hats and 10 scarves are made