A casino pays players with chips that are either turquoise- or violet- colored. If each turquoise-colored chip is worth \(t\) dollars, and each violet-colored chip is worth \(v\) dollars, where \(t\) and \(v\) are integers, what is the combined value of four turquoise-colored chips and two violet-colored chips?

(1) The combined value of six turquoise-colored chips and three violet-colored chips is 42 dollars.

(2) The combined value of five turquoise-colored chips and seven violet-colored chips is 53 dollars.

Answer: D

Source: Manhattan GMAT