College

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

B. [tex]\( 75 \times 60+20 \times 25=n \)[/tex]

C. [tex]\( 20 \times 75+25 \times 60=n \)[/tex]

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

Answer :

To find the total number of minutes the athlete spends working out in the month, we need to consider both types of workouts and the number of days each workout is performed.

1. Cardio Workout:
- The athlete spends 75 minutes per day on cardio.
- The athlete does this cardio workout for 20 days in the month.
- To find the total minutes spent on cardio, multiply the daily workout minutes by the number of days:
[tex]\[
75 \times 20 = 1500 \text{ minutes}
\][/tex]

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

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

Based on the calculations, the equation that represents this situation is:
[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]

Hence, the correct equation to find [tex]\( n \)[/tex], the total number of minutes, is:
[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]

This matches the choice:
[tex]\[
20 \times 75 + 25 \times 60 = n
\][/tex]