Question

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

Answer 1

Answer:

8 video games and 5 movies

Explanation:

In solving this equation the no of movies = m and the no of games = g  

500 <= 20m + 50g  ......eqn 1

m+g > 11     ......................eqn 2

to solve for m,

m > 11-g

We substitute this into eqn 1

500 <= 20(11-g) + 50g

500 <= 220-20g+50g

500 <=220 + 30g

280 <= 30g

9.33333 <=g

so Lesley can buy equal to or less than 9 video games.

The combination of movies and video games that is optimal would be 8 games and 5 movies.

Which is 20(5) + 50(8) = $100+ $400 = $500

Answer 2

You need to buy 8 videos games, and 5 movies.