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? x = 8, y = 45 x = 10, y = 22 x = 16, y = 22 x = 18, y = 18

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

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