A restaurant offers a menu with three appetizers, six main dishes and three desserts if Zoe can only afford to have a main course and either an appetizer or dessert how many different meal choices does she have in all

To solve this problem, let's break it down:

1. **Number of appetizers:** 3
2. **Number of main dishes:** 6
3. **Number of desserts:** 3

Zoe can choose:

- **One main course and one appetizer**, or 
- **One main course and one dessert**.

### Case 1: Main course and appetizer
- Number of choices = \( 6 \) (main dishes) × \( 3 \) (appetizers) = \( 18 \) different combinations.

### Case 2: Main course and dessert
- Number of choices = \( 6 \) (main dishes) × \( 3 \) (desserts) = \( 18 \) different combinations.

### Total Number of Meal Choices
- Add the choices from both cases: \( 18 + 18 = 36 \).

Thus, Zoe has **36 different meal choices** in all.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How would the number of choices change if Zoe could afford both an appetizer and a dessert?
2. What if the restaurant adds a fourth dessert option?
3. How many meal combinations would there be if Zoe could choose two appetizers instead of one?
4. What is the probability of Zoe randomly picking a specific combination (e.g., one particular main dish and one particular dessert)?
5. If the restaurant added a second option of soup as an appetizer, how many choices would Zoe have?

**Tip:** When facing combinatorial problems, clearly separate the different cases and then add the results.

A restaurant offers a menu with three appetizers, six main dishes, and three desserts. If Zoe can only afford to have a main course and either an appetizer or dessert, how many different meal choices does she have in all?

Explore how to calculate the total number of meal combinations Zoe can choose from at a restaurant, using basic combinatorics and counting principles. This problem is ideal for students in Grades 6-8, focusing on the addition principle of counting.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation