Sweet Dreams Bakery sells apple, cherry, and pumpkin pies. Yesterday, the bakery sold 12 more apple pies than cherry pies, and 5 more cherry pies than pumpkin pies. Each pumpkin pie is cut into 18 slices. Sweet Dreams Bakery sold 12 pumpkin pies yesterday. How many pies did Sweet Dreams Bakery sell in all yesterday?

Let's solve the problem step by step.

### Step 1: Define the variables
Let:
- \( x \) be the number of pumpkin pies sold.
- \( y \) be the number of cherry pies sold.
- \( z \) be the number of apple pies sold.

### Step 2: Translate the word problem into equations
From the problem statement, we have the following relationships:
1. "The bakery sold 12 more apple pies than cherry pies": 
   \[
   z = y + 12
   \]
2. "The bakery sold 5 more cherry pies than pumpkin pies": 
   \[
   y = x + 5
   \]
3. The number of pumpkin pies sold is given as \( x = 12 \).

### Step 3: Substitute and solve
First, substitute \( x = 12 \) into the second equation to find \( y \):
\[
y = 12 + 5 = 17
\]
Next, substitute \( y = 17 \) into the first equation to find \( z \):
\[
z = 17 + 12 = 29
\]

### Step 4: Calculate the total number of pies sold
The total number of pies sold by the bakery is the sum of the apple pies, cherry pies, and pumpkin pies:
\[
\text{Total pies} = z + y + x = 29 + 17 + 12 = 58
\]

### Final Answer
The bakery sold **58 pies** in total yesterday.

Would you like any further details or explanations? Here are some related questions you might find interesting:

1. How many slices of pumpkin pie were sold in total?
2. What percentage of the total pies sold were cherry pies?
3. If each apple pie was cut into 10 slices, how many total slices of apple pie were sold?
4. What if the bakery sold 10 more pumpkin pies? How would that affect the total number of pies sold?
5. Can we represent the relationship between the pies sold using a bar graph?

**Tip:** When solving word problems, it's helpful to first define variables and then carefully translate each sentence into an equation.

Explore how Sweet Dreams Bakery sold apple, cherry, and pumpkin pies with a detailed step-by-step solution. Understand the relationships between pie sales and calculate the total number of pies sold. Suitable for Grades 6-8.

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