Question

A certain amount is equally distributed among certain number of students. Each would get 2 less if 10 students were more and each would get 6 more if 15 students were less. Find the num ber of students and the amount distributed.

Answer 1

Answer:

no. of students is 50 and amount distributed is 50*14 = 700

Step-by-step explanation:

let the no. of students be 'x' and the amount received by each be 'y'

therefore total amount = 'xy'Rs

ATFC: (x+10)(y-2)=xy

xy-2x+10y-20=xy

2x-10y= -20.

x-5y= -20. (i) [divided by 2]

ATSC: (x-15)(y+6)=xy

xy+6x-15y-90=xy

6x-15y=90

2x-5y=30. (ii) [divided by 3]

subtracting eqn. ii by eqn.i

2x-5y=30

- x -5y= -20

+. +

x. = 50

substituting x = 50 in eqn. i

50-5y = -20

70 = 5y

y. = 70/5

y = 14