Pretend you have two faucets for your shower, one that releases hot water and one that releases cold water, but at varying pressures. If the hot water is 105 degrees Fahrenheit and the cold water is 45 degrees Fahrenheit, and you could rotate the faucet at most 360 degrees, how much would you have to rotate the cold water faucet to get the temperature to be 98.6 degrees Fahrenheit, if the hot water is turned on all the way, and could not be turned down?
Hint
Add how much you’ve rotated each and divide by the total rotation to get the average temperature.
Answer
The equation for finding the answer, explained by the hint, is
(105(360)+(45)(x))/(360+x)=98.6
Solving for x:
x= 42.985 degrees
