SOLUTION: A room is now half full , if it becomes a quarter full after 35 people leave the room, how many people does the ballroom hold when it is full ? A) 35 B) 70 C) 140 D) 210 E)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A room is now half full , if it becomes a quarter full after 35 people leave the room, how many people does the ballroom hold when it is full ? A) 35 B) 70 C) 140 D) 210 E)      Log On


   



Question 305881: A room is now half full , if it becomes a quarter full after 35 people leave the room, how many people does the ballroom hold when it is full ?
A) 35 B) 70 C) 140 D) 210 E) 280

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
A room is now half full , if it becomes a quarter full after 35 people leave the room, how many people does the ballroom hold when it is full ?
A) 35 B) 70 C) 140 D) 210 E) 280
set x = # of people in full room
0.5x = # of people now (half full)
0.25x = 0.5x - 35 (people in 1/4 full room)
-0.25x = -35
0.25x = 35
x = 140
answer is C) 140