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4 December, 06:46

The ratio of girls to boys in Mr. Smith's homeroom is 3:4. The ratio in Mr. Smith's homeroom to students in the whole 7th grade is 1:5. The ratio of students in 7th grade to students in the whole middle school is 2:7. If there are 12 girls in Mr. Smith's homeroom, how many students are in the whole middle school?

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  1. 4 December, 06:51
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    3:4 = G:B

    1:5 = Mr. Smith's class: 7th Grade

    2:7 = 7th: Middle school

    12 girls = 3 units

    1 unit = 12/3 = 4

    Boys = 4x4 = 16

    Whole class = 28 students

    Class : Grade = 1:5 7 = number of units in Mr. Smith's class

    28 = 1 unit

    5 units = 28x5 = 140 There are 140 kids in the grade

    140 = 2 units

    1 unit = 140/2 = 70

    70x7=490

    There are 490 students in the whole grade
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