https://file.aiquickdraw.com/mathbot/file/1728530462539og1mg8cq.jpg

Let's break down the problem step by step based on the image you provided. 

### Order Details:
- **2 ½ dozen filled cookies**  
  Price per dozen = \$45.00  
  Total cookies = 2.5 dozen
- **1 cake for 15 people**  
  Price = \$400.00  
  Special design charge = \$50.00  
- **6 cupcakes with buttercream decoration**  
  Price per cupcake = \$9.00  

### Step 1: Calculate the total cost for each item
1. **Filled cookies**:
   \[
   2.5 \times 45 = 112.5
   \]
   The total cost for the cookies is \$112.50.

2. **Cake for 15 people**:
   \[
   400 + 50 = 450
   \]
   The total cost for the cake is \$450.00.

3. **6 cupcakes with buttercream decoration**:
   \[
   6 \times 9 = 54
   \]
   The total cost for the cupcakes is \$54.00.

### Step 2: Calculate the total cost of the order
\[
112.5 + 450 + 54 = 616.5
\]
So, the **total charge** to the client is **\$616.50**.

### Step 3: Calculate the advance payment (one-third of the total)
\[
\frac{616.5}{3} = 205.5
\]
The client needs to pay **\$205.50** in advance.

### Step 4: Calculate the remaining balance after the advance
\[
616.5 - 205.5 = 411
\]
The **remaining balance** to be paid upon delivery is **\$411.00**.

---

### Final answers:
- **Total charge to the client**: \$616.50
- **Advance payment**: \$205.50
- **Remaining balance**: \$411.00

Would you like more details or further clarifications?

Here are 5 related questions:
1. How do you calculate percentages of a total for advance payments?
2. How would the total change if the client ordered more cupcakes?
3. What is the process for adding special charges to a base price?
4. How do you convert fractional quantities like 2½ dozen into numbers?
5. What other scenarios can you apply this type of cost breakdown to?

**Tip:** When dealing with fractions in pricing (like 2½ dozen), multiply the fraction directly with the price to avoid errors.

Tu primer pedido es de: 2 ½ docenas de galletas rellenas, 1 pastel para 15 personas con diseño especial por $50.00 adicionales, y 6 cupcakes con decorado de mantequilla simple. Calcula: ¿Cuánto debes cobrar al cliente? Y, si pides la tercera parte de anticipo, ¿cuánto le faltaría para completar el pago al recoger el pedido?

Calculate the total cost for a bakery order including custom items such as cookies, cakes, and cupcakes. Learn how to apply multiplication and percentages to determine advance payment and remaining balance.

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