There are two trails near Aubrey's house that she runs regularly, a short loop and a long loop. Last week, she ran 4 short loops and 5 long loops, for a total of 61 kilometers. This week, she ran 1 short loop and 6 long loops, covering a total of 58 kilometers. What is the length of each loop? The short loop has a length ofkilometers, and the long loop has a length of kilometers
Let x be the length of the short loop and y be the length of the long loop.
From the information given, we can create the following system of equations:
4x + 5y = 61
x + 6y = 58
Solving this system of equations, we find:
x = 5 kilometers
y = 8 kilometers
Therefore, the short loop has a length of 5 kilometers, and the long loop has a length of 8 kilometers.