Solve the problem by using a system of equations.
-The distance between city A and city B is 250 mi more than the distance between city C and city D. Together, the two distances total 1500 mi. How far is it between city A and city B? How far is it between city C and city D?
A) City A and B: 875 mi; City C and D: 625 mi
B) City A and B: 875 mi; City C and D: 750 mi
C) City A and B: 750mi; City C and D: 625 mi
D) City A and B: 1500 mi; City C and D: 1250 mi

Question

Quizplus · Accepted Answer

Let x be the distance between city A and B, and y be the distance between city C and D. The system of equations is x = y + 250 and x + y = 1500. Solving this system gives x = 875 and y = 625.

Solve the Problem by Using a System of Equations