determine the maximum number of DVD movies that can be purchased for ​$435. Indicate how many boxes of 20 and how many boxes of 12 will be purchased.

Question

One supplier is selling boxes of 20 DVD movies for $230, and a second supplier is selling boxes of 12 DVD movies for $170. Only complete boxes of DVD movies can be purchased. Determine the maximum number of DVD movies that can be purchased for $435. Indicate how many boxes of 20 and how many boxes of 12 will be purchased.

Answer 1

One box of each costs $400, which is 32 DVDs with $30 left

2 boxes of 12 can be purchased, which is 24 DVDs with $90 left

1 box of 20 DVDs costs $230 , which is 20 DVDs with $200 left

The first option yields the most DVDs