Question

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.

x + y = 3,500
x – y = 2,342

Solve the system of equations. How many contemporary titles does Jarred have?

A. 1,158
B. 1,737
C. 2,342
D. 2,921

Answer 1

x + y = 3,500 . . . (1)
x – y = 2,342 . . . (2)
(1) - (2) => 2y = 1158
y = 1158/2 = 579
x = 3500 - 579 = 2921

Therefore, he had 2,921 contempolary titles and 579 classic titles.

Answer 2

x + y = 3,500 . . . (1)
x – y = 2,342 . . . (2)
(1) - (2) => 2y = 1158
y = 1158/2 = 579
x = 3500 - 579 = 2921

Therefore, he had 2,921 contempolary titles and 579 classic titles.