Crack in the Jack, Part II

Let us assume we have a broke college student looking for a bite to eat. And let us further appose that the broke college student goes to Crack in the Jack at 2:00 in the morning and wishes to eat as many calories as possible for as little money as possible. That limits his choices down to the Value Menu and, if he likes burgers like me, to a choice between the Jumbo Jack or the Hamburger Deluxe which cost $1.29 and $0.99, respectively. Since they are both identical except for their size, the calories contained in each is proportional to its size. We can solve the hungry student's dilemma merely by comparing the two burgers' sizes relative to their cost. We will use weight in place of size for practical reasons, recognizing this will introduce a negligible error into our model. The burger with the highest weight/cost ratio, then, is the burger the college student should eat. As it turns out, both burgers have very similar weight/cost ratios, though the Jumbo Jack with a weight/cost ration of 193.86 g/$ is a slightly better deal than the Hamburger Deluxe with a weight/cost ration of 180.87 g/$.

The picture below shows the Hamburger Deluxe comfortably resting on the scale. It reads 179.06 g.




The Jumbo Jack weighs in at a whopping 250.08g.