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Posted by on Tuesday, September 14, 2010 at 8:29am.

Bill likes pepperoni pizza, and Howard like sausage pizza. Both are willing to eat pizza with sausage and pepperoni both. They order 10 pizzas total, each of which has either sausage or pepperoni and some of which have both. If 6 have pepperoni on them, and 8 have sausage on them, how many pizzas have both sausage and pepperoni on them?
2
4
6
Impossible to tell

Explain your answer.

  • math word problem - , Tuesday, September 14, 2010 at 8:34am

    N(P or S) = N(P) + N(S) - N(P and S)
    10 = 6 + 8 - N(P and S)

    N(P and S) = 14-10 = 4

    You could also do this question by using a Venn diagram.

  • math word problem - , Tuesday, September 14, 2010 at 8:57am

    Thank you, Dr. Reiny!

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