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Part A: Ratio of students to classrooms at school A:
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Students: Classrooms
480 : 16
30 : 1 //simplify by dividing by 16 on both sides
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Part B : Ratio of students to classroom at school B :
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Students : Classrooms
192 : 12
16 . : 1 //Simplify by dividing by 12
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Part C: Number of students to transfer from School A to B:
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1) Find the number of students in a classroom if both the ratios are the same.
2) Find the number of students needed to be transferred from School A to B.
Total number of students = 480 + 192 = 672
Total number of classrooms = 16 + 12 = 28
Average number of students in one class = 672 ÷ 28 = 24
If both schools have the same ratio, there should be 24 students in a class.
School B has 12 classrooms, so total number of students should be:
12 x 24 = 288
Current number of students in School B = 192
Number of students needed to be transferred = 288 - 192 = 96
So, 96 students needed to be transferred from School A to School B so that both their students to classrooms ratios are the same.
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Answers:
(a) 30 : 1
(b) 16 : 1
(c) 96 students
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