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    The percentage of boys and girls liking four different fruits are shown in the following graph. Study the graph and answer the question. The respectiv
    Question

    The percentage of boys and girls liking four different fruits are shown in the following graph. Study the graph and answer the question.

    The respective ratio of the number of boys to the number of girls is 2 : 3. If the total number of boys and girls together is 11,500, then total how many boys and how many girls like peaches?

    A.

    1311 boys and 1311 girls

    B.

    874 boys and 874 girls

    C.

    874 boys and 1311 girls


    D.

    1311 boys and 874 girls

    Correct option is C

    Given :

    Percentage of boys and girls liking peaches:

    Boys: 19%

    Girls: 19%

    Ratio of boys to girls: 2 : 3

    Total number of boys and girls together: 11,500

    Solution :

    Let the number of boys be 2x and the number of girls be 3x

    2x + 3x = 11,500 

    5x = 11500

    x = 2300

    Number of boys = 2x = 2 × 2300 = 4600

    Boys liking peaches = 19% of 4,600

    = 0.19 × 4600 = 874 

    Number of girls = 3x = 3 × 2300 = 6900

    Girls liking peaches = 19% of 6900 = 0.19 × 6900 = 1311

    The correct answer is option ( c) 874 boys and 1311 girls

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