Let's solve this step by step.
1. Understanding the problem:
- Ling initially had an unknown number of blankets, which we'll call [tex]\( b \)[/tex].
- She gave away 9 blankets.
- After giving away 9 blankets, she had 11 blankets left.
2. Formulate the equation:
- If she gave away 9 blankets, we subtract 9 from her initial number of blankets [tex]\( b \)[/tex].
- The remaining number of blankets is 11.
3. Set up the equation:
- The equation can be expressed as:
[tex]\[
b - 9 = 11
\][/tex]
4. Identify the correct option:
- Option A: [tex]\(\frac{b}{9}=11\)[/tex] This suggests she divided her blankets by 9 to get 11, which doesn't fit the situation.
- Option B: [tex]\(b - 9 = 11\)[/tex] This correctly represents that after giving away 9 blankets, Ling has 11 left.
- Option C: [tex]\(b + 11= 9\)[/tex] This suggests adding 11 to her blankets totals 9, which doesn't fit the situation.
- Option D: [tex]\(b + 9= 11\)[/tex] This suggests adding 9 to her blankets totals 11, which doesn't fit the situation.
Thus, the equation that best represents the described situation is:
[tex]\[ \boxed{b - 9 = 11} \][/tex]
So, the correct answer is Choice B.
