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Based on the table, answer the following questions about who likes which fruits and who does not:

Mathematics

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Answers

5 parts
a

Peter and David\text{Peter and David}

b

David\text{David}

c

John\text{John}

d

Mary\text{Mary}

e

Peter\text{Peter}

Step-by-step solution

9 steps

Here are the solutions to Question 10 based on the provided table:

Part 10

Part a

Peter and David\text{Peter and David}

Who likes pineapples but not bananas?

  1. Identify children who like pineapples (have a dash in the 'Pineapples' column).

    These are Mary, Peter, and David.

  2. From this group, identify those who do not like bananas (have an empty cell in the 'Bananas' column).

    • Peter likes pineapples and does not like bananas.
    • David likes pineapples and does not like bananas. The answer is Peter and David\boxed{\text{Peter and David}}.

Part b

David\text{David}

Who likes apples and oranges but not bananas?

  1. Identify children who like apples (dash in 'Apples' column) and oranges (dash in 'Oranges' column).

    • John likes apples and oranges.
    • David likes apples and oranges.
  2. From this group, identify those who do not like bananas (empty cell in 'Bananas' column).

    • John likes bananas.
    • David does not like bananas. The answer is David\boxed{\text{David}}.

Part c

John\text{John}

Who likes oranges and grapes but not pineapples?

  1. Identify children who like oranges (dash in 'Oranges' column) and grapes (dash in 'Grapes' column).

    • John likes oranges and grapes.
    • Peter likes oranges and grapes.
  2. From this group, identify those who do not like pineapples (empty cell in 'Pineapples' column).

    • John does not like pineapples.
    • Peter likes pineapples. The answer is John\boxed{\text{John}}.

Part d

Mary\text{Mary}

Who likes apples, pineapples and grapes?

  1. Identify children who like apples (dash in 'Apples' column), pineapples (dash in 'Pineapples' column), and grapes (dash in 'Grapes' column).

    • Mary likes apples, pineapples, and grapes. The answer is Mary\boxed{\text{Mary}}.

Part e

Peter\text{Peter}

Who likes oranges but not apples?

  1. Identify children who like oranges (dash in 'Oranges' column).

    These are John, Peter, and David.

  2. From this group, identify those who do not like apples (empty cell in 'Apples' column).

    • John likes apples.
    • Peter does not like apples.
    • David likes apples. The answer is Peter\boxed{\text{Peter}}.
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