Milan has planned a treat for her friends. She has sandwiches, pastries, and noodles on the menu. The sandwiches are packed in boxes such that each box has four sandwiches, pastries are packed two each in a box, and the box of noodles serves three persons. If there are a total of 52 boxes, and each friend receives all the three items, find how many friends Milan treated.

Answer

To solve the problem step by step, we will break down the information given and perform the necessary calculations.

### Step 1: Understand the contents of each box
- Each box of sandwiches contains **4 sandwiches**.
- Each box of pastries contains **2 pastries**.
- Each box of noodles serves **3 persons**.

### Step 2: Total number of boxes
- The total number of boxes is given as **52 boxes**.

### Step 3: Determine how many friends can be served
Since each box of noodles serves **3 persons**, we can calculate the total number of friends that can be treated using the number of noodle boxes.

### Step 4: Calculate the total number of friends
To find out how many friends Milan treated, we can multiply the number of noodle boxes (which is equal to the total number of boxes since each box serves the same number of friends) by the number of persons each box serves.

\[ \text{Total friends treated} = \text{Total boxes} \times \text{Persons served per box} \]
\[ \text{Total friends treated} = 52 \times 3 \]
\[ \text{Total friends treated} = 156 \]

### Conclusion
Milan treated a total of **156 friends**.

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