J&J Citrus Company completes the preparation of its products by cleaning, filling, and labeling bottles. Each case of lemonade requires 12 minutes for cleaning, 4 minutes for filling, and 1 minute for labeling. Each case of pineapple juice requires 9 minutes for cleaning, 6 minutes for filling, and 1 minute for labeling. Each case of orange juice requires 10 minutes for cleaning, 4 minutes for filling, and 2 minutes for labeling. If the company ran the cleaning machine for 398 minutes, the filling machine for 164 minutes, and the labeling machine for 58 minutes, how many cases of each type of juice were prepared?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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33. J&J Citrus Company completes the preparation of its products by cleaning, filling, and labeling bottles.
Each case of lemonade requires 12 minutes for cleaning, 4 minutes for filling, and 1 minute for
labeling. Each case of pineapple juice requires 9 minutes for cleaning, 6 minutes for filling, and1
minute for labeling. Each case of orange juice requires 10 minutes for cleaning, 4 minutes for filling,
and 2 minutes for labeling. If the company ran the cleaning machine for 398 minutes, the filling
machine for 164 minutes, and the labeling machine for 58 minutes, how many cases of each type of
juice were prepared?
Transcribed Image Text:33. J&J Citrus Company completes the preparation of its products by cleaning, filling, and labeling bottles. Each case of lemonade requires 12 minutes for cleaning, 4 minutes for filling, and 1 minute for labeling. Each case of pineapple juice requires 9 minutes for cleaning, 6 minutes for filling, and1 minute for labeling. Each case of orange juice requires 10 minutes for cleaning, 4 minutes for filling, and 2 minutes for labeling. If the company ran the cleaning machine for 398 minutes, the filling machine for 164 minutes, and the labeling machine for 58 minutes, how many cases of each type of juice were prepared?
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