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Answer :
Final answer:
Lisa burned approximately 14.19 calories per minute of jogging and 14.6 calories per minute of cycling.
Explanation:
To find the number of calories burned for each minute of jogging and cycling, we need to set up a system of equations. Let x be the number of calories burned per minute of jogging and y be the number of calories burned per minute of cycling. From the given information, we can set up the following equations:
26x + 27y = 768.5
27x + 26y = 768.5
We can solve this system of equations using the method of substitution or elimination. Let's use the method of elimination:
Multiplying the first equation by 27 and the second equation by 26, we get:
702x + 729y = 20734.5
702x + 676y = 19961
Subtracting the second equation from the first equation, we get:
729y - 676y = 20734.5 - 19961
53y = 773.5
Simplifying, we find y = 14.6.
Substituting y = 14.6 into one of the original equations, we can solve for x:
26x + 27(14.6) = 768.5
26x + 399.2 = 768.5
26x = 369.3
Simplifying, we find x ≈ 14.19.
Therefore, Lisa burned approximately 14.19 calories per minute of jogging and 14.6 calories per minute of cycling.
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