Math, asked by bhavanachakka7230, 1 year ago

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

Answers

Answered by bhuvaneshwari13
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 ....

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Answered by priyasingh123
1
\huge\bf\mathfrak\orange{SOLUTION:}

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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