How many gallons of hot water at 130 degrees would need to be added to a bathtub containing 19 gallons of cold water at 45 degrees to raise the temperature to 101 degrees? Round your answer to the nearest tenth of a gallon if necessary.

Question

Quizplus · Accepted Answer

To solve this, use the formula for mixing two substances: (mass1 * temp1 + mass2 * temp2) / (mass1 + mass2) = final temp. Let x be the gallons of hot water. (19 * 45 + x * 130) / (19 + x) = 101. Solving for x gives approximately 36.7 gallons.

How Many Gallons of Hot Water at 130 Degrees Would