Megan exercises every morning for 40 minutes. She does a combination of step aerobics, which burns about 11 calories per minute, and stretching, which burns about 4 calories per minute. Her goal is to burn 335 calories during her routine. Write a system of equations that represents Megan's morning workout.

x = minutes of aerobics

y = minutes of stretching

x + y = 40
11x + 4y = 335

It is possible to solve those two equations for both x and y, but they are only are asking for the equations.

In case you are curious, x = 25

Well, Megan is definitely working hard to burn those calories! Let's come up with a system of equations to represent her morning workout:

Let's say the number of minutes Megan does step aerobics is represented by "x," and the number of minutes she does stretching is represented by "y."

Now, according to the given information, Megan exercises for a total of 40 minutes, so the first equation is:

x + y = 40 - This equation represents the total time Megan spends on step aerobics and stretching combined.

Next, we need to consider the calories burned per minute. Megan burns 11 calories per minute during step aerobics and 4 calories per minute during stretching. So, for every minute she does step aerobics, she burns 11x calories, and for every minute she does stretching, she burns 4y calories.

Megan's goal is to burn 335 calories during her routine, so the second equation is:

11x + 4y = 335 - This equation represents the total calories Megan wants to burn.

And there you have it! The system of equations representing Megan's morning workout is:

x + y = 40
11x + 4y = 335

Keep up the great work, Megan!

Let's use the variables "x" and "y" to represent the number of minutes Megan spends doing step aerobics and stretching, respectively.

The total number of minutes she exercises is given as 40, so the first equation is:
x + y = 40

The number of calories burned during step aerobics is given as 11 calories per minute, so the number of calories burned during step aerobics is 11x.

Similarly, the number of calories burned during stretching is given as 4 calories per minute, so the number of calories burned during stretching is 4y.

The goal is for Megan to burn 335 calories during her routine, so the second equation is:
11x + 4y = 335

Therefore, the system of equations that represents Megan's morning workout is:
x + y = 40
11x + 4y = 335

Let's define two variables to represent the number of minutes Megan spends on step aerobics and stretching, respectively.

Let:
x = number of minutes Megan spends on step aerobics
y = number of minutes Megan spends on stretching

Now we can establish the equations based on the information given:

1. Megan exercises for a total of 40 minutes:
x + y = 40

2. The total number of calories burnt during step aerobics and stretching combined is 335:
11x + 4y = 335

So, the system of equations representing Megan's morning workout is:
x + y = 40
11x + 4y = 335