SOLUTION: The expenses for an art project of a group of students amounted to P360.THREE OF THE STUDENTS HAD TO WITHDRAW FROM THE GROUP, AND AS A RESULT THE SHARE OF EACH OF THE OTHERS WAS IN

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Question 130521: The expenses for an art project of a group of students amounted to P360.THREE OF THE STUDENTS HAD TO WITHDRAW FROM THE GROUP, AND AS A RESULT THE SHARE OF EACH OF THE OTHERS WAS INCREASED BY P20. HOW MANY WERE IN THE ORIGINAL GROUP?...PLS HELP ME...THANX A LOT
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="original number" __ 360/x=(360/(x-3))-20

multiplying by x(x-3) __ 360x-1080=360x-20x^2+60x

subtracting 360x-1080 and dividing by -20 __ 0=x^2-3x-54

factoring __ 0=(x-9)(x+6) __ 0=x-9 and 0=x+6