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Question

300 chocolates are distributed equally among a certain number of students. Had there been 10 more students, each would have received one chocolate less. The number of students is ___ .


A

50

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B

45

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C

55

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D

48

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Solution

The correct option is A

50


Let the number of students be x

Number of chocolates each student gets = 300x

Number of chocolates each student gets when there are 10 more students = 300x+10

then 300x300x+10=1300(x+10)300xx(x+10)=1x2+10x3000=0x2+60x50x3000=0x(x+60)50(x+60)=0(x+60)(x50)=0x=60 or x=50number of students = 50


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