Problema 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 purchase at least eleven items. Which is a combination of movies and newly released video games that Lesley could purchase using his gift card?
Answer provided by our tutors
let the number of movies = m and the number of games = g
set up 2 inequalities:
500 <= 20m + 50g
m+g > 11
solve for m in the second
m > 11-g
substitute this into the first
500 <= 20(11-g) + 50g
500 <= 220-20g+50g
500 <=220 + 30g
280 <= 30g
9.33333 <=g so she can buy less than or equal to 9 games.
a possible combination would be 8 games and 11-8, or 3 movies, which would cost her the following:
20(3) + 50(8) = $60 + $400 = $460
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