Some books are distributed among the students of a school. If 800 more books were distributed, each student would have gotten 10 more books. If there were 10 fewer students, each student would have gotten 10 more books. How many books did each student get?
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Answer:
each student get 80 books at last
and total 5600 book were distributed among 70 students.
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The number of books received by each student = 70
Let the number of students in a school be x and the number of books distributed among the students be y.
Number of books received by each student = y/x
If the number of books = 800 + y , then the number of books received by each student = (y/x) + 10 = (800+y)/x
=> y/x - (800+y)/x = -10
=> y-800-y = -10x
=> x = 80
If the number of student = x - 10 , then the number of books received = (y/x) + 10 = y/(x-10)
=> (y/x) - y/(x-10) = -10
=> y/80 - y/70 = -10
=> -y/560 = -10
=> y = 5600
Number of books received by each student = 5600/80 = 70
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