Morgan had 1/2 a box of candy left after the movie. She ate 1/2 of that on the way home and still hate 8 pieces to give to her little brother. How many pieces were in the box when Morgan bought it

Let the total number of pieces of candy in the box when Morgan bought it be \( x \).

### Step 1: Understanding the situation
- After the movie, Morgan had **half** of the box of candy left. That means she had \( \frac{x}{2} \) pieces remaining.
- On her way home, she ate **half** of that amount, which means she ate \( \frac{1}{2} \times \frac{x}{2} = \frac{x}{4} \) pieces.
- After eating that, she still had 8 pieces left to give to her brother.

### Step 2: Setting up the equation
The number of pieces left after she ate \( \frac{x}{4} \) pieces is:
\[
\frac{x}{2} - \frac{x}{4} = 8
\]

### Step 3: Solving the equation
To subtract the fractions on the left side, we need a common denominator:
\[
\frac{x}{2} - \frac{x}{4} = \frac{2x}{4} - \frac{x}{4} = \frac{x}{4}
\]
Thus, the equation becomes:
\[
\frac{x}{4} = 8
\]

### Step 4: Solving for \( x \)
Multiply both sides of the equation by 4 to solve for \( x \):
\[
x = 8 \times 4 = 32
\]

### Final Answer:
There were **32 pieces of candy** in the box when Morgan bought it.

Would you like further clarification or more details?

Here are 5 related questions to expand your understanding:
1. How would the problem change if Morgan had 12 pieces left instead of 8?
2. What if Morgan had eaten 3/4 of the candy she had left after the movie?
3. Can you set up and solve a similar problem if Morgan gave some of the candy to a friend?
4. How many pieces of candy would be left if she ate 3/5 of the remaining candy instead of half?
5. What fraction of the original candy did Morgan give to her little brother?

**Tip**: When solving word problems, try breaking the situation down step by step and using equations to represent each part of the scenario.

Morgan had 1/2 a box of candy left after the movie. She ate 1/2 of that on the way home and still had 8 pieces to give to her little brother. How many pieces were in the box when Morgan bought it?

Learn how to solve a word problem involving fractions. Morgan had half a box of candy, ate half of that, and gave her brother 8 pieces. Find out how many pieces of candy were originally in the box, perfect for Grades 6-8.

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