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Answer :
Let's break down the problem to find the total number of minutes the athlete spends working out in a month.
1. Cardio Workout:
- The athlete spends 75 minutes each day on a cardio workout.
- They do this workout for 20 days in the month.
- To find the total minutes spent on cardio workouts in the month, we multiply the number of minutes per day by the number of days:
[tex]\[
20 \times 75 = 1500 \text{ minutes}
\][/tex]
2. Strength Workout:
- The athlete spends 60 minutes each day on a strength workout.
- They do this workout for 25 days in the month.
- To find the total minutes spent on strength workouts in the month, we multiply the number of minutes per day by the number of days:
[tex]\[
25 \times 60 = 1500 \text{ minutes}
\][/tex]
3. Total Workout Minutes:
- To find the total number of minutes spent on working out in the month, we add the total cardio workout minutes and the total strength workout minutes together:
[tex]\[
1500 + 1500 = 3000 \text{ minutes}
\][/tex]
So, the correct equation used to find [tex]\( n \)[/tex], the total number of minutes the athlete spends working out in the month, is:
[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]
This matches with the second option provided.
1. Cardio Workout:
- The athlete spends 75 minutes each day on a cardio workout.
- They do this workout for 20 days in the month.
- To find the total minutes spent on cardio workouts in the month, we multiply the number of minutes per day by the number of days:
[tex]\[
20 \times 75 = 1500 \text{ minutes}
\][/tex]
2. Strength Workout:
- The athlete spends 60 minutes each day on a strength workout.
- They do this workout for 25 days in the month.
- To find the total minutes spent on strength workouts in the month, we multiply the number of minutes per day by the number of days:
[tex]\[
25 \times 60 = 1500 \text{ minutes}
\][/tex]
3. Total Workout Minutes:
- To find the total number of minutes spent on working out in the month, we add the total cardio workout minutes and the total strength workout minutes together:
[tex]\[
1500 + 1500 = 3000 \text{ minutes}
\][/tex]
So, the correct equation used to find [tex]\( n \)[/tex], the total number of minutes the athlete spends working out in the month, is:
[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]
This matches with the second option provided.
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