A 60-gallon bathtub is to be filled with water that is exactly 120°F. Unfortunately, the two sources of water available are 135°F and 70°F. When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified? Amount of 135°F water: Amount of 70°F water: gallons gallons

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
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A 60-gallon bathtub is to be filled with water that is exactly 120°F. Unfortunately, the two sources of water available are 135°F and 70°F. When mixed, the
temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as
specified?
Amount of 135°F water:
Amount of 70°F water:
gallons
gallons
Transcribed Image Text:A 60-gallon bathtub is to be filled with water that is exactly 120°F. Unfortunately, the two sources of water available are 135°F and 70°F. When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified? Amount of 135°F water: Amount of 70°F water: gallons gallons
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