a teacher wants to divide 150 bananas equally among certain number of students.if there were 25 students more,each student would receive 1 less bananas.
find the number of students
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let number of student = x
then, number of banana recieved by one student = 150/ x
according to que. if there would 25 student more i.e.( x+25) each student recive 1 less banana i.e. ((25/x)-1) whoes product still will be equal to 150
Now,
(x+125)(150/x -1)= 150
(on solving we will get....)
x^2+25x-3750=0
x^2+75x-50x-3750=0
(X - 50)(x + 75 )=0
therefore x=50
Number of students were 50
then, number of banana recieved by one student = 150/ x
according to que. if there would 25 student more i.e.( x+25) each student recive 1 less banana i.e. ((25/x)-1) whoes product still will be equal to 150
Now,
(x+125)(150/x -1)= 150
(on solving we will get....)
x^2+25x-3750=0
x^2+75x-50x-3750=0
(X - 50)(x + 75 )=0
therefore x=50
Number of students were 50
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