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2. At the gym, Alex spends 24 minutes doing
resistance training for every 30 minutes
spent doing cardio exercises, Carisa spends
15 minutes on resistance for every
20 minutes on cardio, and Manuel spends
14 minutes on resistance for every
15 minutes on cardio. Which person has the
greatest ratio of minutes spent on resistance
to minutes spent on cardio? (Example 2)
Alex
Resistance (min)
Cardio (min)
Carisa
Resistance (min)
Cardio (min)
Manuel
Resistance (min)
Cardio (min)

Respuesta :

Answer:

Manuel

Step-by-step explanation:

You should set up a proportion graph first such as r:c where r is the amount of minutes spent on resistance and c is the amount of minutes spent on cardio.

Alex's ratio: 24:30

Carisa's ratio: 15:20

Manuel's ratio: 14:15

Now you have to find the lowest common multiple (lcm) of the cardio minutes. Their lcm is 60. Now the ratios look like this:

Alex's ratio: 48:60

Carisa's ratio: 45:60

Manuel's ratio: 56:60

The ratio with the highest first number is considered larger. In this case its Manuel since he has the number 56.

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