The Math Department celebrated Scimath week and rented a sound system and a generator in case of power interruption. After the 4-day
Scimath competition, the department paid a total amount of Php8,000, four days for the sound system and one day for the generator. If each is
rented for one day, the department should have paid a total of Php 2,600. How much was the daily rental cost of the generator? Show your
solution to support your answer
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Answer:
How much was the daily rental cost of the generator?
Y=800 PHP
LET X = SOUND SYSTEM
Y = GENERATOR
EQUATION 1: 4X+Y=8000
EQUATION 2: X+Y=2600
FROM EQ 1: Y=8000-4X
SUBSTITUTE Y TO EQ 2: X+Y=2600
X+8000-4X = 2600
-3X=2600-8000
-3X=-5400
X=1800
SUBSTITUTE TO EQ 1: Y=8000-4X
Y=8000-4(1800)
Y=8000-7200
Y=800
CHECKING
SUBSTITUTE AT EQ 1 THE VALUE OF X AND Y
4X+Y=8000
4(1800)+800=8000
7200+800=8000
8000=8000
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