The chart shows Maria’s workout schedule. Today she worked out with weights and then had a long run. When is the next time Maria will do both workouts on the same day?
Type of Workout
Weights
Every 3 days
Long Run
Every 5 days
When is the next time Maria will do both workouts on the same day?
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To find the next time Maria will do both workouts on the same day, we need to determine the least common multiple (LCM) of the two workout schedules: 3 days for weights and 5 days for long runs.
1. Weights: Every 3 days.
2. Long Run: Every 5 days.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, …
The multiples of 5 are: 5, 10, 15, 20, …
The least common multiple of 3 and 5 is 15.
So, if today is considered day 0, Maria will do both workouts on the same day again in 15 days from today.