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Every Wednesday, Wayne works out for 34\frac{3}{4} of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 33 times as long. How much time does Wayne spend at the fitness center in all each week?\newlineWrite your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions.\newline____ hours

Full solution

Q. Every Wednesday, Wayne works out for 34\frac{3}{4} of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 33 times as long. How much time does Wayne spend at the fitness center in all each week?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions.\newline____ hours
  1. Calculate Workout Time: Calculate how long Wayne works out on Saturday. He works out 33 times as long as he does on Wednesday, which is 34\frac{3}{4} of an hour. So, 3×343 \times \frac{3}{4} hour = 94\frac{9}{4} hours.
  2. Find Total Weekly Time: Add the time Wayne spends working out on Wednesday and Saturday to find the total time spent at the fitness center each week. Wednesday: 34\frac{3}{4} hour, Saturday: 94\frac{9}{4} hours. Total = 34+94=124\frac{3}{4} + \frac{9}{4} = \frac{12}{4} hours.
  3. Simplify Total Time: Simplify the total time. 124\frac{12}{4} hours = 33 hours.

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