Answer
Sarah = 53 miles
Jean = 43 miles
Explanation:
Let the mile ran by Serah be x
Let the mile ran by Jean be y
Since both ran a total mile of 96
Mathematically, x + y = 96
x + y = 96 ------------- equation 1
Since Sarah ran 10 more miles than Jean
Therefore,
Sarah = Jean + 10
Since Jean = y and Sarah = x
x = y + 10 ------------ equation 2
Substitute the value of x in equation 1
(y + 10) + y = 96
open the parenthesis
y + 10 + y = 96
collect the like terms
y + y = 96 - 10
2y = 86
Divide both sides by 2
y = 86/2
y = 43 miles
Therefore, Jean ran a total distance of 43 miles
According to the equation 1,
x + y = 96
y = 43miles
x = 96 - 43
x = 53 miles
Therefore, Sarah ran a distance of 53 miles