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8 June, 05:04

School A has 216 students and 12 classrooms. School B has 104 students and 4 classrooms.

What is the ratio of students to classrooms at school A?

What is the ratio of students to classrooms in school B?

How many students would have to transfer from school B to A for the ratios to be even?

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  1. 8 June, 08:46
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    Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1. Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80 = 24.
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