Chapter 1, Problem 1.80P

If a temperature scale were based on the freezing point $({5.5}^o\text{C)}$ and boiling point $({80.1}^o\text{C)}$ of benzene and the temperature difference between these pints was divided into 50 units (called ${}^{\text{o}}\text{X),}$ what would be the freezing and boiling points of water in ${}^{\text{o}}\text{X?}$ (See Figure 1.6, p. 19.)