Mary walked to the park on Saturday and Sunday. On Saturday she took a different route home that was

1 1/2 miles longer than the route she took on Sunday. If she walked a total of 8 miles, how many miles did she walk on Saturday?

x + x + 1 1/2 = 8

2x = 8 - 1 1/2

2x = 6 1/2

x = 3 1/4

8 - 3 1/4 = 4 3/4

To find out how many miles Mary walked on Saturday, we need to set up an equation based on the information given. Let's represent the distance she walked on Sunday as "x" miles.

On Sunday, Mary walked x miles.
On Saturday, she walked 1 1/2 miles longer, so the distance she walked on Saturday can be represented as (x + 1 1/2) miles.

The total distance she walked on Saturday and Sunday combined is 8 miles, so we can set up the equation: x + (x + 1 1/2) = 8.

Now we can solve the equation to find the value of x and then determine the distance she walked on Saturday.

x + (x + 1 1/2) = 8
Combine like terms:
2x + 1 1/2 = 8
Subtract 1 1/2 from both sides:
2x = 8 - 1 1/2
2x = 6 1/2

To convert the mixed number (6 1/2) to an improper fraction, multiply the whole number (6) by the denominator (2) and add the numerator (1) to get 13/2.

2x = 13/2
Divide both sides by 2:
x = 13/4

So, Mary walked 13/4 miles on Sunday.

To find out how many miles she walked on Saturday, substitute the value of x back into the equation for the distance on Saturday: x + 1 1/2.

(13/4) + 1 1/2 can be simplified by finding a common denominator, which is 4 in this case:

(13/4) + (6/4)
= (13 + 6)/4
= 19/4

Therefore, Mary walked 19/4 miles on Saturday.