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29 March, 18:03

There are a total of 51 students in the Modern Dance and Ballet classes. The Modern Dance class has twice as many students as the Ballet class. Write a system of linear equations that represent this situation. How many students are in each class?

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  1. 29 March, 18:41
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    m=modern dance b=ballet class

    51 = m+b

    m = 2b

    plug second equation into first equation

    51 = 2b+b

    51 = 3b

    b=17

    plug b into second equation

    m = 2 (17)

    m = 34
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Home » Mathematics » There are a total of 51 students in the Modern Dance and Ballet classes. The Modern Dance class has twice as many students as the Ballet class. Write a system of linear equations that represent this situation. How many students are in each class?
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