To determine the percentage of green yarn in the sweater design, follow these steps:
1. Identify the quantities of each color yarn:
- White yarn: 10 balls
- Green yarn: 3 balls
- Yellow yarn: 2 balls
2. Calculate the total number of yarn balls:
Add the number of balls of each color:
[tex]\[
\text{Total yarn balls} = 10 \, (\text{white}) + 3 \, (\text{green}) + 2 \, (\text{yellow})
= 15 \, \text{balls}
\][/tex]
3. Calculate the percentage of green yarn:
The percentage of green yarn is found by dividing the number of green yarn balls by the total number of yarn balls and then multiplying by 100 to convert it to a percentage:
[tex]\[
\text{Percentage of green yarn} = \left( \frac{\text{Number of green yarn balls}}{\text{Total number of yarn balls}} \right) \times 100
= \left( \frac{3}{15} \right) \times 100
= 20 \%
\][/tex]
Therefore, the percentage of the yarn that is green is [tex]\( \boxed{20 \%} \)[/tex].
