The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?

a) x = 8, y = 45

b) x = 10, y = 22

c) x = 16, y = 22

d) x = 18, y = 18

Question

Mathematics

Dania

5 July, 09:50

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?

a) x = 8, y = 45

b) x = 10, y = 22

c) x = 16, y = 22

d) x = 18, y = 18

+1

Answers (1)

Know the Answer?

Uriel Duran · Answer 1

c) x = 16, y = 22

Step-by-step explanation:

Given dа ta:

new release = $20

Classic = $8

Let x represent the number of new releases and Let y represent the number of classics

Total cost = 500

20X + 8Y = 500

Substituting answers in a) into the equation

20 (8) + 8 (45) = 520 (total than the maximum budget making this answer wrong)

Substituting answers in b) into the equation

20 (10) + 8 (22) = 376 (total is far less than the budgeted amount making this answer wrong)

Substituting answers in c) into the equation

20 (16) + 8 (22) = 496 (the total is approximately equal to the budgeted amount and the difference cant buy another disk making this the correct answer)

Substituting answers in d) into the equation

20 (18) + 8 (18) = 504 (total than the maximum budget making this answer wrong)