How to figure hot and cold water mixture problem?

I'm still confused on this one. Here is what I have, water mixture:


Hot water temperatue 130 degree





Cold water temperature 55 degree





Desired temperature 93 degree





Mixture result: 45 gallons of 93 degree water.


How many gallons of hot water and how many gallons of cold water needed to obtain the desired quantity and temperture?





Please show complete detail on how this problem was solved. Thank you very muchHow to figure hot and cold water mixture problem?
(X gals)(130-93)掳C = ((45-X)gals)(93-55)掳C





(specific heat of water cancels)