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4 September, 08:32

In Linguistics 101, the ratio of the number of girls to the number of boys is $3:2$. When seven more girls join the class, and two boys drop the class, the ratio of the number of girls to the number of boys becomes $5:2$. How many students are in the class after these changes?

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  1. 4 September, 08:53
    0
    There are 25 students in the class after the changes

    Step-by-step explanation

    Let G = The total number of girls after the change

    Let B = The total number of boys after the change

    g/b=3/2

    G+7/B-2=5/2

    After cross multiplying you get 5B-10=2B+14

    and 3B=2B

    Then you solve to get B=12. Then plug B back in any equation to get G=18.

    Then plug your to number back in G+7/B-2=5/2 to get 18+7 and 12-2. Once you solve and add you get 25 students.
  2. 4 September, 08:58
    0
    Step-by-step explanation:3.26*3.25 - - 5
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