Question

Natalie ran 4 miles farther than Holly. Together, they ran a total of 24 miles. Let n=
the number of miles Natalie ran. Let h=
the number of miles Holly ran.
Which system of linear equations represents this scenario?

Answer 1

Let n = Natalie's miles and h = Holly's miles. The system is

n = h + 4
n + h = 24

(Equivalently: n − h = 4 and n + h = 24.)

Solving gives n = 14 and h = 10.