Three friends Babu, Sona and Janu after watching a movie want to order some meal, so they go straight to the food court of the Phoenix mall. babu says if we order p number of pizzas it would be sufficient for three of us, Sona says if we order b number of burgers it would be sufficient for three of us and Janu says if we order s number of sanwiches it would be sufficient for three of us. The restaurant manager, who is listening to their conversation, says, Guys you all are right, as whatever you go with, in each case you would have the same amount of meal.But can have a combo pizza, burger and sandwich, and this combo would still give you the same amount of meal that you get when you order only one sort of dish and morever you can save some bucks for the next movie ticket.
All of them unaimously agree to his suggestion and order a combo meal. If the number of burgers is more that that of pizzas, but less than that of sandwiches, what is the total number of pizzas, burgers and sandwiches in the combo?

Options

A. A. 9
B. B. 11
C. C. 14
D. D. data insufficient

Answer

To solve the problem step by step, we need to analyze the information given about the meals and the relationships between the number of pizzas, burgers, and sandwiches.

### Step 1: Understand the Meal Sufficiency
Babu states that ordering \( p \) pizzas is sufficient for three people. This means that the total amount of meal provided by \( p \) pizzas is enough for Babu, Sona, and Janu.

### Step 2: Analyze Sona's Statement
Sona claims that ordering \( b \) burgers is sufficient for the same three people. Thus, the total amount of meal from \( b \) burgers is also sufficient for all three friends.

### Step 3: Consider Janu's Statement
Janu mentions that ordering \( s \) sandwiches is also sufficient for the three of them. Therefore, \( s \) sandwiches provide the same total meal amount as \( p \) pizzas and \( b \) burgers.

### Step 4: Establish Relationships
From the statements, we can establish the following relationships based on the sufficiency of meals:
- The total meal from \( p \) pizzas = The total meal from \( b \) burgers = The total meal from \( s \) sandwiches.

### Step 5: Set Up the Combo Meal
The restaurant manager suggests a combo meal consisting of one pizza, one burger, and one sandwich. Let’s denote the number of pizzas, burgers, and sandwiches in the combo as \( x \), \( y \), and \( z \) respectively.

### Step 6: Analyze the Conditions
According to the problem:
- The number of burgers \( b \) is more than the number of pizzas \( p \) (i.e., \( b > p \)).
- The number of burgers \( b \) is less than the number of sandwiches \( s \) (i.e., \( b < s \)).

### Step 7: Conclusion on Total Meals
Since the exact values of \( p \), \( b \), and \( s \) are not provided, we cannot determine specific numbers for the combo meal. However, we know that the combo meal will consist of one pizza, one burger, and one sandwich.

### Final Calculation
The total number of items in the combo meal is:
\[ \text{Total} = x + y + z = 1 + 1 + 1 = 3 \]

### Final Answer
The total number of pizzas, burgers, and sandwiches in the combo is **3**.