Apersonal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. a beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. an advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week. which statement describes when the plans are based on the same number of aerobic exercise sessions? each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week. each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week. each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Given that a personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Let the number of sessions of strength training be s and the number of sessions of aerobic exercise be a, then for the beginers plan, 15s + 20a = 90 and for the advanced plan 20s + 30a = 130

To find when the plans are based on the same number of aerobic exercise sessions, we solve the two above equations simultaneously as follows


From the solution, we can see that the statement describes when the plans are based on the same number of aerobic exercise sessions is "Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."