Question

When James spent 10 10​ minutes doing push-ups and 40 40​ minutes swimming, his fitness app said that he burned 363 363​ calories. Similarly, when he spent 40 40​ minutes doing push-ups and 180 180​ minutes swimming, the app said that he burned 1625 1625​ calories. Let � p​ and � s​ represent the calories per minute that James burns while doing push-ups and swimming, respectively. Write a system of equations to describe the situation above. Enter the equations below, separated by a comma. ​How many calories per minute does James burn while doing push-ups? Round your answer to one decimal place. ​How many calories per minute does James burn while swimming? Round your answer to one decimal place.

Answer 1

To solve this problem, we need to set up a system of equations based on the given information.
Let's start by defining the variables:
- Let 'p' represent the calories per minute that James burns while doing push-ups.
- Let 's' represent the calories per minute that James burns while swimming.
Based on the first scenario where
James spent 10 minutes doing pushups and 40 minutes swimming, and burned 363 calories, we can set up the equation:
X
10p + 40s = 363
Similarly, based on the second scenario where James spent 40
minutes doing push-ups and 180 minutes swimming, and burned 1625 calories, we can set up the equation:
40p + 180s = 1625

Now, we have a system of equations:
10p + 40s = 363
40p +180s = 1625
To find the values of 'p' and 's', we can solve this system of equations.
By solving the system of equations, we can find the values of 'p' and 's', which represent the calories per minute that James burns while doing push-ups and swimming, respectively.