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After following her exercise program from Problem 4 for a month, your friend plans to increase the calories she burns with each session. She still wants to exercise for 40 min every other day, but now she wants to burn 460 calories during each session. If she only runs and jogs, how many minutes of each exercise type should she do now?

Respuesta :

The following system of equations is solved to find how many minutes of each exercise type she should do now:

  • x + y = 40.
  • ax + by = 460.

In which a is the amount of calories lost per minute running, and b is the amount of calories lost per minute jogging.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

  • Variable x: number of minutes running.
  • Variable y: number of minutes jogging.

She still wants to exercise for 40 min every other day, hence:

x + y = 40.

She wants to burn 460 calories during each session, hence:

ax + by = 460.

In which a is the amount of calories lost per minute running, and b is the amount of calories lost per minute jogging. (the problem is incomplete and I couldn't find it anywhere, hence I am speaking into general terms).

Then the following system of equations is solved to find how many minutes of each exercise type she should do now:

  • x + y = 40.
  • ax + by = 460.

More can be learned about a system of equations at https://brainly.com/question/24342899

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