Question

Angel went to the doctor and was prescribed three different medications: one in capsules, a syrup and a few drops. The capsules should be taken every 6 hours, the syrup every 3 hours and the drops every 4 hours. If Cristóbal takes the three medications at 8:00 am when starting the treatment, At what time do you take the three medications together again?

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Answer to a math question Angel went to the doctor and was prescribed three different medications: one in capsules, a syrup and a few drops. The capsules should be taken every 6 hours, the syrup every 3 hours and the drops every 4 hours. If Cristóbal takes the three medications at 8:00 am when starting the treatment, At what time do you take the three medications together again?

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Rasheed
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110 Answers
\text{1. Determine the intervals for taking each medication:}
6 \, \text{hours, 3 \, \text{hours}, and 4 \, \text{hours} }
\text{2. Find the LCM of 6, 3, and 4:}
\text{Prime factorizations:}
6 = 2 \times 3
3 = 3
4 = 2^2
\text{Highest powers:}
2^2 \times 3 = 4 \times 3 = 12 \, \text{hours}
\text{3. Add the LCM to the starting time:}
8:00 \, \text{am} + 12 \, \text{hours} = 8:00 \, \text{pm}
\text{Answer: 8:00 pm}

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