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Question 9

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

User Pmk
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1 Answer

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Answer:

(d) Three pizzas are shared equally among zero people, and you want to know how much each person gets.

Explanation:

You want to know which pizza sharing problem has no solution for the amount each person gets:

  • 8 pizzas, 4 people
  • 4 pizzas, 3 people
  • 0 pizzas, 4 people
  • 3 pizzas, 0 people

Pizza per person

The amount of pizza each person gets is found by dividing the number of pizzas by the number of people:

  • 8 pizzas/(4 people) = 2 pizzas per person
  • 4 pizzas/(3 people) = 4/3 pizza per person
  • 0 pizzas/(4 people) = 0 pizzas per person
  • 3 pizzas/(0 people) = undefined — no solution

The problem of dividing 3 pizzas among 0 people has no solution.

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User Andrew Nolan
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