Question

One third of the total number of students in a class opted for painting, one fourth chose
theatre, one sixth went for dance and twelve are in music. How many students are there
in the class?

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Answer 1

Answer:

let the number of students be x

x-[(x/3)+(x/4)+(x/6)]=12

x-[(4x+3x+2x)/12]=12

x-(3x/4)=12

(4x-3x)/4=12

x=12*4

x=48

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