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?
Answers
Each student got 70 books for them.
Let total number of students be X and number of books that each student get be Y.
- In 1st case, number of books that each students get = Y+10
Thus total number of new books added = 10X
Given, 10X = 800
∴ X=80.
Thus total number of students is 80.
- In 2nd case, it is referred that if number of students reduces by 10, then each of the student will get Y+10 books each.
Total number of books = 70(Y+10) = 80Y
⇒70Y+700 = 80Y
⇒10Y = 700
⇒Y = 70.
Thus, each student did get 70 books.
Answer:
Let total number of students be X and number of books that each student get be Y.
⚫ In 1st case, number of books that each students get = Y+10
Thus total number of new books added = 10X
Given, 10X = 800
.. X=80.
Thus total number of students is 80.
. In 2nd case, it is referred that if number of students reduces by 10, then each of the student will get Y+10 books each.
Total number of books = 70(Y+10) = 80Y
→ 70Y+700 = 80Y
→ 10Y = 700
→ Y = 70.
STUDENTS GET 70 BOOKS EACH ..
TOTAL NO. OF BOOKS =80×70=5600...