At a high school football game Jamie buys 6 hot dogs and 4 soft drinks for $13. Amy buys 3 hot dogs and 4 soft drinks for $8.50. What is the price of a hot dog?
Since Jamie bought exactly 3 more hot dogs than Amy at $4.50 more, the price of one hot dog must be $4.50/3 = $1.50. The cost of the soft drinks is irreleveant because the same amount was purchased by both people.