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9 November, 01:07

There are 12 boys and 10 girls in your gym class. If 6 boys joined the class, how many girls would need to join for the ratio of boys to girls to remain the same?

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Answers (2)
  1. 9 November, 01:14
    0
    So 12 and 10

    if 6 boys joined then it is now

    12+6=18

    so we now need to have

    12:10=18:x

    solve for x

    convert to fraction

    12/10=18/x

    multiply both sides by x

    12x/10=18

    multiply both sides by 10

    12x=180

    divide both sides by 12

    x=15

    so from 10 to 15 is a difference of 5 so 5 girls need to join

    the answe ris 5
  2. 9 November, 01:36
    0
    Number of boys in the gym class = 12

    Number of girls in the gym class = 10

    then

    Ratio of boys to ratio of girls = 12:10

    = 6:5

    Now

    Number of boys joining the gym class later = 6

    So after the new boys join the number of boys in the gym class becomes = 18

    The ratio of boys to girls have to remain the same

    Let us assume that the number of girls that need to join the gym class = x

    Then

    6/5 = 18 / (x + 10)

    6 (x + 10) = 18 * 5

    6x + 60 = 90

    6x = 90 - 60

    6x = 30

    x = 30/6

    = 5

    So the number of girls that need to join the gym class to keep the ratio same is 5. I hope the procedure is clear enough for you to understand.
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