mini has some pencils.if she gives 3 pencils to each pupil,she will have 20 pencils left.if she gives 4pencils to each pupil, she will have none left.how many pencils does she have

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Please find below the solution to the asked query:

Let the total number of people be 'x'It is given that if she gives 3 pencils to each pupil, she is left with 20 pencilsSo the total number of pencils are 3x+20Also it is given that if she gives 4 pencils to each pupil, she will have nleft. So the total number of pencils can also be expressed as 4xThis implies that,          4x=3x+20   4x-3x=20            x=20This implies that the total number of pencils are,   320+20=60+20=80

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