Which of the following problems would NOT have a solution?

	
Six pizzas are shared equally among three people, and you want to know how much each person gets.

	
Three pizzas are shared equally among two people, and you want to know how much each person gets.

	
Zero pizzas are shared equally among three people, and you want to know how much each person gets.

	
Two pizzas are shared equally among zero people, and you want to know how much each person gets.

To determine which of the problems would **NOT** have a solution, let's analyze each one mathematically:

1. **Six pizzas shared equally among three people:**
   - This can be represented as \( \frac{6}{3} \).
   - The solution is \( 2 \) pizzas per person, so this problem **has a solution**.

2. **Three pizzas shared equally among two people:**
   - This can be represented as \( \frac{3}{2} \).
   - The solution is \( 1.5 \) pizzas per person, so this problem **has a solution**.

3. **Zero pizzas shared equally among three people:**
   - This can be represented as \( \frac{0}{3} \).
   - The solution is \( 0 \) pizzas per person, so this problem **has a solution**.

4. **Two pizzas shared equally among zero people:**
   - This can be represented as \( \frac{2}{0} \).
   - Division by zero is undefined, so this problem **does not have a solution**.

### Conclusion:
The problem that **does not have a solution** is: **Two pizzas shared equally among zero people**.

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Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. What happens mathematically when dividing by zero?
2. How can division by zero be interpreted in real-life situations?
3. Can there be cases where dividing by zero might seem plausible but still have no solution?
4. What other mathematical operations can lead to undefined results?
5. How can limits in calculus help us approach division by zero scenarios?

**Tip:** In mathematics, division by zero is always undefined because it leads to contradictions in the basic principles of arithmetic.

Which of the following problems would NOT have a solution?

Six pizzas are shared equally among three people, and you want to know how much each person gets.

Three pizzas are shared equally among two people, and you want to know how much each person gets.

Zero pizzas are shared equally among three people, and you want to know how much each person gets.

Two pizzas are shared equally among zero people, and you want to know how much each person gets.

Understand why the problem of dividing two pizzas among zero people does not have a solution. This question explores arithmetic concepts, including division and the mathematical principle that division by zero is undefined. Suitable for Grades 5-7 students learning basic division rules.

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