A verification engineer is tasked with running regressions on a server farm. For every day a server successfully completes its regression without crashing, it accumulates 150 points. For every day the server crashes, it is penalized 50 points. Over a continuous 30-day period, a specific server accumulates exactly 2,500 points. How many days did the server crash?
Let x be the number of successful days and y be the number of crashed days. We have two equations:
x + y = 30
150x - 50y = 2500
Substitute x = 30 - y
into equation 2: 150(30 - y) - 50y = 2500
4500 - 150y - 50y = 2500
2000 = 200y
y = 10.
The server crashed on 10 days.
