3. Filomena Resort rented a certain number of function rooms for Php
28, 800 when the price was reduced by Php 20 per room, 6 more
rooms were rented. How many function rooms were rented?
28, 800 when the price was reduced by Php 20 per room, 6 more
rooms were rented. How many function rooms were rented?
Answers & Comments
Answer
96 rooms
Solution
(x+6) (p-20)=28,000
28,800+6p-20x-120=28,800
6p-20x-120=0
3p-10x-60=0
3(28,800/x)-10x-60=0
divide 28,800 to x= 28,800
divide both sides with x
3(28,800)-10x²-60x=0
86,400-10x²-60x=0
divide both sides by 10
x²+6x-8640=0
use quadratic equation
(x+96)(x-90)=0
x=28,800/90=Php 320
x=300(96)=28,800
ANSWER:96 rooms were rented