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
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?
2x = 8 - 1 1/2
2x = 6 1/2
x = 3 1/4
8 - 3 1/4 = 4 3/4
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.