Question

the chart shows marias 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 | frequency
weights | every 3 days
long run | every 5 days
____ days from today

Explanation:

Step1: Identify the problem type

We need to find the next time Maria does both workouts, which is the least common multiple (LCM) of the two frequencies.

Step2: Recall LCM of coprime numbers

Since 3 and 5 are coprime (their GCD is 1), the LCM of two coprime numbers \(a\) and \(b\) is \(a\times b\).

Step3: Calculate LCM of 3 and 5

Using the formula for LCM of coprime numbers, \( \text{LCM}(3, 5)=3\times5 = 15\).

Answer:

15