allison burns 15 calories per minute on the elliptical and 12 calories per minute on the treadmill. If she spent one hour at the gym on these two machines and burned a total of 774 calories, how long did she spend on the elliptical?

Respuesta :

Answer:

25.38

Step-by-step explanation:

i did it quick so its prob wrong

The amount of time spent on the elliptical is; 18 minutes.

She burns 15 calories per minute on elliptical

She burns 12 calories per minute on the treadmill

Let the number of minutes spent on elliptical be x

Let the number of minutes spent on treadmill be y.

She spent a total of 1 hour which is 60 minutes on both machines in total.

Thus;

15x + 12y = 774 - - - (eq 1)

x + y = 60 - - - (eq 2)

From eq 2, x = 60 - y

Thus;

15(60 - y) + 12y = 774

900 - 15y + 12y = 774

3y = 900 - 774

3y = 126

y = 126/3

y = 42 minutes

Thus;

x = 60 - 42

x = 18 minutes

In conclusion, the amount of time spent on the elliptical is 18 minutes.

Read more about simultaneous equations word problems at; https://brainly.com/question/15165519