Chevy has some yarn that he 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. chevy wants to use 222 kilograms of yarn to make a total of 151515 items. let hhh be the number of hats chevy makes and sss be the number of scarves he makes. which system of equations represents this situation? choose 1

The system of equation that represent this situations are;

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

Hence the system of equation that represent this situations are;

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

Now Subtracting equation 1 from equation 3 we get;

Now Substituting the value of h in equation 1 we get;

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

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