300 apples are distributed equally among the certain number of student had there been 10 most student each would have receive an apple let's find the number of students
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Answered by
3
Answer:
Let the total number of students= x
Total number of Apples= 300
1st case:
Number of apples received by each student= 300/x
2nd case:
In this case number of boys increased (x+10)
Number of Apples received by each boy= 300/(x+10)
A.T.Q
(300/x) -1 = 300/(x+10)
300/x -300/(x+10) =1
Lcm = x(x+10)
300(x+10) - 300x/( x(x+10)) = 1
300x+3000-300x = x(x+10)
3000= x²+10x
x²+10x-3000=0
[ Factorization by middle term splitting]
x²+60x-50x-3000=0
x(x+60)- 50(x+60)=0
(x+60)(x-50)=0
x+60=0,. x=-60
x-50=0
x= 50
Therefore,X= -60 cannot be taken as Number of students are always positive.
Hence, the total number of students in the class= 50
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Hope this will help ....
please mark this as a brainliest answer
Answered by
1
Thanks for the question!
●Let the original no. of students be "x"
We have, Total number of Apples= 300
So, Number of apples received by each student= 300/x
(300/x) -1 = 300/(x+10)
300/x -300/(x+10) =1
300(x+10) - 300x/( x(x+10)) = 1
300x+3000-300x = x(x+10)
3000= x²+10x
x²+10x-3000=0
x²+60x-50x-3000=0
x(x+60)- 50(x+60)=0
(x+60)(x-50)=0
x+60=0, x = -60
x-50=0, x= 50
Number of students has to be positive. So, the total number of students in the class= 50
Hope this helps!!!
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