Question 528359
let movies be {{{x}}} and newly released video games {{{y}}}

than we have:

{{{$500 =20x+50y}}}

we can use option A:(25, 0) where {{{x=25}}} and {{{y=0}}}

{{{$500 =20*25+50*0}}}

{{{$500 =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)


{{{$500 =20x+50y}}}


{{{$500 =20*10+50*6}}}


{{{$500 =200+300}}}


{{{$500 =500}}}......this {{{combination}}} of movies and newly released video games is optimal


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