An athlete spends 75 minutes a day on a cardio workout and 60 minutes a day on a strength workout. The athlete does the cardio workout 20 days in a month and the strength workout 25 days in the month.

Which equation could be used to find [tex]n[/tex], the total number of minutes the athlete spends working out in the month?

A. [tex]75 \times 60 + 20 \times 25 = n[/tex]

B. [tex]75 + 60 \times 25 + 25 = n[/tex]

C. [tex]20 \times 75 - 25 \times 60 = n[/tex]

D. [tex]20 \times 75 + 25 \times 60 = n[/tex]

To solve this problem, we need to calculate the total number of minutes the athlete spends working out during the month. The athlete engages in two types of workouts: cardio and strength.

1. Cardio Workout:
- The athlete spends 75 minutes on cardio each day.
- The athlete performs the cardio workout for 20 days in a month.

To find the total minutes spent on cardio, multiply the number of minutes per day by the number of days:

[tex]\[
75 \text{ minutes/day} \times 20 \text{ days} = 1500 \text{ minutes}
\][/tex]

2. Strength Workout:
- The athlete spends 60 minutes on strength workouts each day.
- The athlete does the strength workout for 25 days in a month.

To find the total minutes spent on strength training, multiply the number of minutes per day by the number of days:

[tex]\[
60 \text{ minutes/day} \times 25 \text{ days} = 1500 \text{ minutes}
\][/tex]

3. Total Minutes Spent on Workouts:

Add the total minutes for cardio and strength workouts to find the overall minutes spent working out in the month:

[tex]\[
1500 \text{ minutes (cardio)} + 1500 \text{ minutes (strength)} = 3000 \text{ minutes}
\][/tex]

The correct equation that represents this calculation is:

[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]

This matches the total of 3000 minutes found through the calculations above.