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

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

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

Answer :

To determine the total number of minutes the athlete spends working out in a month, let's break down the information given and use it step by step:

1. Cardio Workout:
- The athlete spends 75 minutes doing cardio each day.
- They do this workout 20 days in a month.
- To find the total minutes spent on cardio workouts in a month, we multiply the minutes per day by the number of days:
[tex]\[
\text{Total cardio minutes} = 75 \times 20 = 1500 \text{ minutes}
\][/tex]

2. Strength Workout:
- The athlete spends 60 minutes on strength training each day.
- They do this workout 25 days in a month.
- To find the total minutes spent on strength workouts in a month, we multiply the minutes per day by the number of days:
[tex]\[
\text{Total strength minutes} = 60 \times 25 = 1500 \text{ minutes}
\][/tex]

3. Total Workout Minutes:
- To find the total number of minutes the athlete spends working out in the month, we add the total minutes from cardio workouts and strength workouts:
[tex]\[
\text{Total minutes} = 1500 + 1500 = 3000 \text{ minutes}
\][/tex]

From this step-by-step breakdown, we find that the correct equation to calculate the total minutes [tex]\( n \)[/tex] is:

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

Thus, the total number of minutes the athlete spends working out in the month is 3000 minutes.