Question
A certain number of books were distributed equally among
a group of students in a class. Each student received a number of books equal to one-fifth of the total number of students. If the number of students had been reduced to half, then each student would have received 10 books. How many books were distributed in total?Solution
Let the no. of children = xTotal number of notebooks distributed = Number of children X number of notebook each child gotHence, total no. of notebooks distributed as per the given 1st condition= x/5 X x = x2/5 .... (i)According to the 2nd condition; total number of notebooks=10 X x/2 = 5x .... (ii)Comparing (i) & (ii), we getx2/5 = 5x=> x = 25Hence, total no. of notebooks = x2/5= (25 X 25)/5=125
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