Mariana is buying cinnamon sugar, which is a mix made of cinnamon and sugar. There are two kinds available; one is in a red package and the other is in a blue package, but both packages have the same mass. In the red package, the ratio of cinnamon to sugar is \(1:3\), by mass. In the blue package, the ratio of cinnamon to sugar is \(1:4\), by mass. Mariana buys one red package and two blue packages, then mixes them together to create a new cinnamon sugar mix. Determine the ratio of cinnamon to sugar in Mariana’s new cinnamon sugar mix.