https://file.aiquickdraw.com/mathbot/file/1726751276364wrq4b1in.jpg

Let's break down the problem step by step:

1. **Number of chocolates per box**:
   - Each box has 4 layers, and each layer has 4 rows of 4 chocolates.
   - The total number of chocolates in each box is \( 4 \times 4 \times 4 = 4^3 = 64 \) chocolates per box.

2. **Number of boxes**:
   - Ray has 3 boxes, so the total number of chocolates is \( 3 \times 64 = 192 \) chocolates in total.

3. **Distribution among 16 friends**:
   - Ray distributes the chocolates equally among 16 friends, so each friend receives \( \frac{192}{16} = 12 \) chocolates.

Now, let's identify the correct expression and value from the options:

- The expression that matches this calculation is \( 3 \times 4^3 \div 16 \).
- The value is 12 chocolates per friend.

So, the correct answer is **\( 3 \times 4^3 \div 16 = 12 \)**.

Would you like further details or have any questions? 

Here are 5 related questions to explore this concept further:
1. What would happen if Ray had 4 boxes instead of 3? 
2. How would the answer change if each layer had 5 rows instead of 4?
3. What if Ray distributed the chocolates among 20 friends? 
4. How does using exponents simplify the calculation for large numbers of chocolates?
5. What would be the result if there were only 2 layers per box?

**Tip:** When dividing evenly among groups, always ensure the total number of items is calculated first before dividing to avoid errors.

Ray has 3 boxes of chocolates. Each box has 4 layers of chocolates. Each layer has 4 rows of 4 chocolates each. He distributes all the chocolates equally among 16 friends. Identify the expression and the value that give the number of chocolates that each of Ray's friends gets.

Solve a problem involving distributing chocolates equally among friends. Ray has 3 boxes of chocolates, each with 4 layers and 4 rows per layer. Learn how to use multiplication and division to find the number of chocolates each friend receives.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation