Answer
Halogen bulb $= 4000$ bulb hours
Fluorescent bulb $= 100,000$ bulb hours
Incandescent bulb $= 1500$ bulb hours.
Work Step by Step
Let Number of bulb hours for
Halogen bulb be $x$.
Fluorescent bulb $25$ times the number of bulb hours for a halogen bulb $= 25 x$
Incandescent bulb is $2500$ less than the number of bulb hours for a halogen bulb $= x-2500$
Total Number of bulb hours $=105,500$
$x+25x+x-2500=105500$
Add like terms.
$27x-2500=105500$
Add $2500$ on both sides.
$27x-2500+2500=105500+2500$
$27x = 108000$
$x=\frac{108000}{27}$
$x =4000$
Number of bulb hours for
Halogen bulb $(x) = 4000$.
Fluorescent bulb $=25x $
$= 25(4000)$
$=100,000$
Incandescent bulb $= x-2500$
$=4000-2500$
$=1500$
