Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lane must purchase at least seven items. Which is a combination of movies and newly released video games that Lane could purchase using his gift card?

Question

anonymous · Answer

my answer choices are 

1 movie and 6 video games 

 2 movies and 4 video games 

 6 movies and 5 video games 

 8 movies and 1 video game

anonymous · Answer

let there be x movies and y video games.
so 20x+50y=300
2x+5y=30

when you plot the graph for this eq. it is a line passing through (15,0) and (0,6)...

x should be divisible by 5 and y should be divisible by 2.

so facing all these constraints the possible solutions are

x=0 y=6
x=5 y=4
x=10 y=2
x=15 y=0

but x+y >7

so x=0 y=6 is not valid

anonymous · Answer

so are you saying the amount of video games and movies is less than 7?

anonymous · Answer

no... i mean either x=5 y=4 or x=10 y=2 or x=15 y=0

anonymous · Answer

that doesnt match my answer choices

anonymous · Answer

yes... these do not match the options you gave :(