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Question

The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys,

find the total number of students in the class.


A

30

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B

54

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C

48

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D

42

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Solution

The correct option is C

48


Let the Number of boys be 3x and the number of girls be 5x.

It is given that number of girls are 12 more than the number of boys.

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 6

The total number of students in the class = 3x + 5x = 8x = 8× 6 = 48


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