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ICSE Class 10 Answered

6400 notebooks were distributed among some children. Had there been 80 children less, each would have received 4 more books. Take the number of books received by each child as x, frame an equation in x and solve it. 
Asked by khushdab | 03 Apr, 2020, 07:08: PM
answered-by-expert Expert Answer

 
Let the number of books receieved by each child is x.
 
According to the condition,
 
(No.of books received by each child)(total number of children) = Total number of books
begin mathsize 16px style open parentheses straight x plus 4 close parentheses open parentheses 6400 over x minus 80 close parentheses equals 6400 rightwards double arrow 80 space left parenthesis straight x space plus space 4 right parenthesis open parentheses 80 space minus space straight x close parentheses space equals space 6400 straight x rightwards double arrow space left parenthesis straight x space plus space 4 right parenthesis open parentheses 80 space minus space straight x close parentheses space equals space 80 straight x rightwards double arrow straight x squared space plus 4 straight x space minus 32 space equals space 0 rightwards double arrow straight x squared space minus 4 straight x plus 8 straight x space minus 32 space equals space 0 rightwards double arrow straight x left parenthesis straight x space minus space 4 right parenthesis space plus space 8 left parenthesis straight x space minus space 4 right parenthesis space equals space 0 rightwards double arrow left parenthesis straight x space minus space 4 right parenthesis left parenthesis straight x space plus space 8 right parenthesis space equals space 0 rightwards double arrow straight x space equals space 4 space or space straight x space equals space minus 8 end style

Number of books receieved by each child can't be negative.
→ x = 4



Answered by Yasmeen Khan | 03 Apr, 2020, 08:50: PM

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