Mr. P checks the temperature in Fort Collins, Colorado several times each day. On one particular day, he noticed that:
(1) The temperature at 8:00 AM was twice the temperature at 5:00 AM.
(2) The noon temperature was two degrees less than four times the 5 AM temperature.
(3) The temperature at 3:00 PM was 44 degrees warmer than the temperature at 5:00 AM.
(4) The sum of the temperatures at 5 AM and noon was equal to the sum of the temperatures at
8 AM and 10 AM.
(5) The sum of the five temperature readings (at 5 AM, 8 AM, 10 AM, noon, and 3 PM) equaled 183 degrees.
What were the temperatures at 5:00 AM, 8:00 AM, 10:00 AM, noon, and 3:00 PM?
All temperatures are integer values and are measured in Fahrenheit degrees.