SOLUTION: Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lesley must pur

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lesley must pur      Log On

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Question 528359: Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lesley must purchase at least eleven items. If Lesley wants to spend as much as possible on his gift card by purchasing the most items, which combination of movies and newly released video games is optimal?

A (25, 0)
B (20, 2)
C (15, 4)
D (10, 6)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let movies be x and newly released video games y
than we have:
%24500+=20x%2B50y
we can use option A:(25, 0) where x=25 and y=0
%24500+=20%2A25%2B50%2A0
%24500+=500...this option works if Lesley wants to spend as much as possible on his gift card,but it is not optimal
however, she wants to spend as much as possible on his gift card by purchasing the combination of movies and newly released video games, so we will consider option D:(10, 6)

%24500+=20x%2B50y

%24500+=20%2A10%2B50%2A6

%24500+=200%2B300

%24500+=500......this combination of movies and newly released video games is optimal

so, your answer is D:(10, 6)