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A bakery produces Queen cakes and Marble cakes. Queen cakes take 30 mins and Marble cakes take 20 mins. Total time is 4800 mins. Formulate inequalities.

Mathematics

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Answer

3x+2y≤4803x + 2y \le 480

Let xx be the number of Queen cakes and yy be the number of Marble cakes.

a) Formulate all the inequalities that represent the above information (4 marks)

  1. Time constraint:

    • Queen cakes take 30 minutes each.
    • Marble cakes take 20 minutes each.
    • Total time available is not more than 4800 minutes.
    30x+20y≤480030x + 20y \le 4800

    Dividing by 10, we simplify this to:

    3x+2y≤480\boxed{3x + 2y \le 480}
  2. Relationship between cake types:

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