HOT and COLD: Do you ever think about the math involved in filling a bathtub? Depending on the location and the season, the temperature of the cold water that enters a home may be 55F. Some of the water goes to a water heater, where its temperature may be raised to 122F. Suppose you want a tub of 22 gallons of water to be 78F. You can write two equations, using x and yto represent the number of gallons of cold and hot water you need to mix together to get the desired temperature. x + y: 22 (the full tub contains 22 gallons) 55x + 122y= 22 - 78 (x gal at 55 plus y gal at 122 is equal to 22 gal at 78). If you solve this system, you find that you need about 14.4 gallons of cold water. 24. In the given system of equations, what does x represent? a. the number of gallons of hot water b. the number of gallons of cold water c. the capacity of the tub d. the temperature of the hot water 25. In the given system of equations, what is the value of y? a. about 1716 b. about 22 c. about14.4 d. about 7.6