Question

300 apples are distributed equally among A certain number of students had there been had they been 10 more students each would have received one Apple less find the number.

Answer 1

let the number of students are x

so each student gets 300/x apples

now if students are x+10

then each one gets 300/x -1 apple

( x+10) (300/x -1 ) = 300

( x+10) (300-x /x ) = 300

( x+10) (300-x ) = 300x

300x - x^2 + 3000 - 10x = 300x

x^2 + 10x - 3000 = 0

x^2 + 60x - 50x -3000 = 0

x (x +60) -50(x+60) = 0

(x +60) (x - 50) = 0

(x +60) = 0 or (x - 50) = 0

x = - 60 or x = 50

but, x = - 60 is not possible

so, x = 50

Answer 2

Answer:

Step-by-step explanation:

let the number of students are x

so each student gets 300/x apples

now if students are x+10

then each one gets 300/x -1 apple

( x+10) (300/x -1 ) = 300

( x+10) (300-x /x ) = 300

( x+10) (300-x ) = 300x

300x - x^2 + 3000 - 10x = 300x

x^2 + 10x - 3000 = 0

x^2 + 60x - 50x -3000 = 0

x (x +60) -50(x+60) = 0

(x +60) (x - 50) = 0

(x +60) = 0 or (x - 50) = 0

x = - 60 or x = 50

but, x = - 60 is not possible

so, x = 50