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If [tex]\( b \)[/tex] is the unknown number of blankets, which equation best represents the situation described below?

Ling gave some of her blankets to charity, decreasing her total number of blankets by 9. After she gave the blankets away, she had 11 left.

A. [tex]\( \frac{b}{9} = 11 \)[/tex]

B. [tex]\( b - 9 = 11 \)[/tex]

C. [tex]\( b + 11 = 9 \)[/tex]

D. [tex]\( b + 9 = 11 \)[/tex]


Sagot :

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.