The Fruit Basket Challenge

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Sarah has a fruit basket containing apples, oranges, and bananas. The total number of fruits in the basket is 60. She notices that the number of apples is double the number of oranges, and the number of bananas is 5 more than the number of apples. How many of each type of fruit does Sarah have in her basket?

Comments

  1. Rithvik3 September 2024 at 10:30

    Let:

    O represent the number of oranges.
    A represent the number of apples.
    B represent the number of bananas.
    Given:

    A = 2O (The number of apples is double the number of oranges.)
    B = A + 5 (The number of bananas is 5 more than the number of apples.)
    A + O + B = 60 (The total number of fruits is 60.)
    Step-by-Step Solution:

    Substitute the values for A and B in terms of O into the total equation:

    A = 2O, B = (2O + 5)

    2O + O + (2O + 5) = 60

    Combine like terms:

    5O + 5 = 60

    Subtract 5 from both sides:

    5O = 55

    Divide by 5:

    O = 11

    Now, find A and B:

    A = 2O = 2 × 11 = 22

    B = A + 5 = 22 + 5 = 27

    Answer:

    Oranges: 11
    Apples: 22
    Bananas: 27
    Sarah has 11 oranges, 22 apples, and 27 bananas in her basket.

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