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Deepak Bora
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The ratio of boys to the number of girls in a school of 560 pupils is 5 : 3 . if 10 new boys are admitted , find how many new girls may be admitted so that the ratio of the number of boys to the number of girls may change to 3 : 2

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ratio and proportion

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  1. Total number of students = 560

    And Ratio of boys to the number of girls = 5:3

    ∴ Number of boys = 5/8 × 560

    = 350

    Number of girls = 3/8 × 560

    = 210

    After adding 10 new boys,total number of boys = 360

    Let the number of girls added to make the new ratio  (boys : girls)3:2 is ‘x’

    ∴ 360/210+x = 3:2

    720 = 3(210+x)

    720 = 630 +  3x

    90 = 3x

    ∴ x= 30

    So we have to add 30 girls to make ratio 3:2

     

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