https://file.aiquickdraw.com/mathbot/file/1729392184224oohy3awq.jpg

The problem in the image reads:

"Aisha and Bella had 219 stickers.  
After Aisha used \(\frac{1}{3}\) of her stickers and Bella used 39 stickers, they had the same number of stickers left.  
How many stickers did Bella have at first?"

### Solution:

Let \( a \) be the number of stickers Aisha initially had, and \( b \) be the number of stickers Bella initially had.

1. **Total number of stickers:**
   \[
   a + b = 219 \quad \text{(since Aisha and Bella had 219 stickers together)}
   \]

2. **After Aisha used \(\frac{1}{3}\) of her stickers:**
   Aisha used \(\frac{1}{3}\) of her stickers, so she has \(\frac{2}{3}a\) stickers left.

3. **After Bella used 39 stickers:**
   Bella used 39 stickers, so she has \( b - 39 \) stickers left.

4. **Equal number of stickers left:**
   After using their stickers, both Aisha and Bella have the same number of stickers left:
   \[
   \frac{2}{3}a = b - 39
   \]

Now we have a system of two equations:
1. \( a + b = 219 \)
2. \( \frac{2}{3}a = b - 39 \)

### Solving the system of equations:

#### Step 1: Solve for \( b \) in the first equation:
\[
b = 219 - a
\]

#### Step 2: Substitute this into the second equation:
\[
\frac{2}{3}a = (219 - a) - 39
\]
\[
\frac{2}{3}a = 180 - a
\]

#### Step 3: Eliminate the fraction by multiplying through by 3:
\[
2a = 540 - 3a
\]

#### Step 4: Combine like terms:
\[
2a + 3a = 540
\]
\[
5a = 540
\]
\[
a = 108
\]

#### Step 5: Substitute \( a = 108 \) into \( b = 219 - a \):
\[
b = 219 - 108 = 111
\]

### Conclusion:
Bella initially had **111 stickers**.

---

Would you like any further explanation or details? Here are some follow-up questions for practice:

1. How many stickers did Aisha initially have?
2. How many stickers did Aisha use?
3. What fraction of Bella's stickers did she use?
4. If Bella had used only 30 stickers, how would the result change?
5. Can you create a different scenario with the same total number of stickers but different proportions used?

**Tip:** When solving systems of equations, it's helpful to substitute one variable in terms of another to simplify the problem.

Aisha and Bella had 219 stickers. After Aisha used 1/3 of her stickers and Bella used 39 stickers, they had the same number of stickers left. How many stickers did Bella have at first?

Learn how to solve a system of equations where Aisha and Bella have 219 stickers combined. After using some, they end up with the same number of stickers left. This problem introduces fractions and solving systems of equations, suitable for students in Grades 6-8.

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