the ratio of boys to girls in a class is 5:3. There are 32 students in the class. how many of them are boys?

the ratio of boys to girls in a class is 5:3. There are 32 students in the class. how many of them are boys?

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  1. Answer:

    Given :-

    • The ratio of boys to girls in a class is 5 : 3.
    • There are 32 students in the class.

    To Find :-

    • How many of them are boys.

    Solution :-

    Let, the number of boys be 5x

    And, the number of girls will be 3x

    According to the question,

    5x + 3x = 32

    8x = 32

    x = 32/8

    x = 4

    Hence, the required numbers of boys and girls are :

    The number of boys :

    5x

    5(4)

    5 × 4

    20

    And,

    The number of girls :

    3x

    3(4)

    3 × 4

    12

    The total number of boys and there in the class is 12.

    VERIFICATION :

    5x + 3x = 32

    By putting x = 4 we get,

    5(4) + 3(4) = 32

    5 × 4 + 3 × 4 = 32

    20 + 12 = 32

    32 = 32

    Hence, Verified.

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