Question

Jason is on a new exercise regimen. To begin, his trainer does not want him to complete more than a total of 32 lunges and sit-ups. For every lunge that he completes, Jason burns 30 calories. He burns an additional 20 calories for every sit-up. His goal is to burn at least 620 calories during a workout session. Which is a combination of lunges and sit-ups that Jason complete in a session?

Answer 1

There is no combination of lunges and sit-ups that Jason can complete in a session to burn at least 620 calories.

Step-by-step explanation:

To find the combination of lunges and sit-ups that Jason can complete in a session, we need to set up a system of equations based on the given information. Let's assume that Jason completes x lunges and y sit-ups. The total number of lunges and sit-ups is given by the equation: x + y = 32. The total number of calories burned is given by the equation: 30x + 20y = 620. We can solve this system of equations by substitution or elimination to find the values of x and y.

Substituting the value of x from the first equation into the second equation, we have: 30(32 - y) + 20y = 620. Simplifying this equation, we get: 960 - 30y + 20y = 620. Combining like terms, we have: -10y = 620 - 960. Further simplifying, we get: -10y = -340. Dividing both sides by -10, we get: y = 34.

Substituting this value of y back into the first equation, we have: x + 34 = 32. Solving for x, we get: x = 32 - 34. Simplifying, we have: x = -2. Since the number of lunges and sit-ups cannot be negative, this solution is not valid. Therefore, there is no combination of lunges and sit-ups that Jason can complete in a session to burn at least 620 calories.