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Mars2501 [29]
3 years ago
12

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

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer: \left \{ {{0.2h+0.1s=2} \atop {h+s=15}} \right.

Step-by-step explanation:

According to the exercise, we know that:

h: Number of hats Chevy makes.

s: number of scarves Chevy makes,

He wants to use 2 kilograms of yarn.

Knowing that each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn, we can write the following equation to represent this situation:

0.2h+0.1s=2

Since Chevy wants to make 15 items in total, we can write this equation:

h+s=15

Finally, having these equations, we can set  up the following system of  equations that represents this situation:

\left \{ {{0.2h+0.1s=2} \atop {h+s=15}} \right.

To solve it we can use the Substitutition Method. The steps are:

1. Solve for "s" from the second equation:

s=15-h

2. Substitute the equation above into the first equation and solve for "h":

0.2h+0.1(15-h)=2\\\\0.2h+1.5-0.1h=2\\\\0.1h=2-1.5\\\\h=\frac{0.5}{0.1}\\\\h=5

3. Substitute the value of "h" into s=15-h to find the value of "s". Then:

s=15-5\\\\s=10

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