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Question
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a smartwatch can track workouts for 12 hours or show time for 120 hours. if it tracks workouts for 4 hours and shows time for 30 hours, it will last more hours showing time.
Step1: Calculate used battery (workout)
$\frac{4}{12} = \frac{1}{3}$
Step2: Calculate used battery (show time)
$\frac{30}{120} = \frac{1}{4}$
Step3: Find remaining battery
$1 - \frac{1}{3} - \frac{1}{4} = \frac{12}{12} - \frac{4}{12} - \frac{3}{12} = \frac{5}{12}$
Step4: Calculate remaining show time
$\frac{5}{12} \times 120 = 50$
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