Which of the following problems would NOT have a solution? Eight pizzas are shared equally among four people, and you want to know how much each person gets. Four pizzas are shared equally among three people, and you want to know how much each person gets. Zero pizzas are shared equally among four people, and you want to know how much each person gets. Three pizzas are shared equally among zero people, and you want to know how much each person gets.

1 answer

Let's analyze each problem one by one:

  1. Eight pizzas shared equally among four people:

    • Each person gets \( \frac{8}{4} = 2 \) pizzas.
    • This has a solution.
  2. Four pizzas shared equally among three people:

    • Each person gets \( \frac{4}{3} \) pizzas (approximately 1.33 pizzas).
    • This has a solution.
  3. Zero pizzas shared equally among four people:

    • Each person gets \( \frac{0}{4} = 0 \) pizzas.
    • This has a solution.
  4. Three pizzas shared equally among zero people:

    • This presents a problem because you cannot divide by zero.
    • This does NOT have a solution.

Therefore, the problem that would NOT have a solution is: Three pizzas are shared equally among zero people, and you want to know how much each person gets.