Q1. à¿-D-Galactopyranose has [à¿]D = +150.7o, and à¿-D-galactopyranose has [à¿]D = +52.8o. When either of them is dissolved in water and allowed to reach equilibrium, the specific rotation of the solution will be +80.2o. What are the percentages of each anomer at equilibrium?© BrainMass Inc. brainmass.com September 25, 2018, 10:55 am ad1c9bdddf - https://brainmass.com/chemistry/chemical-equilibrium/percent-mix-of-rotational-isomers-14316
OK...your basic idea is in the neighborhood...but your approach is wrong.
Let us use A & B (for the alpha, beta values of 150.7 and 52.8 respectively) to set the problem up
and X & Y for ...
An algebraic manipulation to ascertain the percent components of a mixture.