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?
Accepted Solution
A:
He'll buy 16 new releases and 22 classic movies.Let x = number of new releasesLet y = number of classics.The equation to solve the question will be:20x + 8y = 500When x= 16 and y = 22, thus will be:= 20x + 8y= 20(16) + 8(22)= 320 + 176 = 496Therefore, 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.Read related link on: