# There are some chocolates in a box. Each gets 7 chocolates when these chocolates are distributed equally among the students of a class. If there were 5 more students in the class, then each would get 1 chocolate less. Find the number of students in the class

1
by jsurani2009

2015-03-04T23:32:00+05:30

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Let the number of students in the class = x

Each gets 7 chocolates when these chocolates are distributed equally among the students of a class.
So the number of chocolates = 7 × x = 7x

If there were 5 more students in the class, then each would get 1 chocolate less.
number of students would be x+5
each will be getting = 7-1 = 6 chocolates
So number of chocolates = (x+5) × 6 = 6x+30

Since the number of chocolates is both 7x and 6x+30,
7x = 6x+30
⇒ 7x - 6x = 30
⇒ x = 30

Thus number of students is 30.