Question

In her last workout, Marsha burned 9 calories per minute on the treadmill and 7 calories per minute on the elliptical. If she spent a total of 57 minutes working out and burned a total of 463 calories, how many minutes did she spend on the elliptical?

Answer 1

To find out how many minutes Marsha spent on the elliptical, set up a system of equations using x as the number of minutes on the elliptical and 57 - x as the number of minutes on the treadmill. Solve the system of equations to find the value of x.

Step-by-step explanation:

To find out how many minutes Marsha spent on the elliptical, we need to set up a system of equations.

Let x be the number of minutes she spent on the elliptical.

Since Marsha worked out for a total of 57 minutes, the number of minutes she spent on the treadmill can be expressed as 57 - x.

The number of calories burned on the elliptical can be calculated by multiplying the number of minutes (x) by the calories burned per minute (7). Similarly, the number of calories burned on the treadmill can be found by multiplying the number of minutes (57 - x) by the calories burned per minute (9).

1. Equation 1: 7x = calories burned on the elliptical
2. Equation 2: 9(57 - x) = calories burned on the treadmill

We also know that the total number of calories burned is 463. So, we can set up another equation:

Equation 3: 7x + 9(57 - x) = 463

Solving Equations 1, 2, and 3 will give us the value of x, which represents the number of minutes Marsha spent on the elliptical.