Question

Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could purchase using his gift card?

A: (5, 6)
B:(10, 4)
C: (20,0)
D:(15, 2)

Answer 1

correct answer is (20,0)

Explanation:

Answer 2

All satisfy the conditions

Explanation:

Interpreting (x,y) as (movies, video games) then each of these points work.

He must buy 9 items at least and spend $400. Each of these options are more than 9 items and their prices add to $400.

(5,6) = 5(20) + 6(50) = 100+300=400

(10,4) = 10(20) + 4(50) = 200+200=400

(20,0) = 20(20) + 0(50) = 400+0=400

(15,2) = 15(20) + 2(50) = 300 + 100 = 400