All sugars exhibit mutarotation, or the interconversion of the α and β anomeric forms using the open chain structure as an intermediate

All sugars exhibit mutarotation, or the interconversion of the α and β anomeric forms using the open chain structure as an intermediate. The specific rotations of the α and β anomers of D-mannose are +29° and -17°, respectively. If either pure crystalline sample is dissolved in water and allowed to come to equilibrium, the observed specific rotation is now +14°. Based on these data, calculate the percent abundances of the α and β anomers (assume that the concentration of the open chain form is negligible).
Perform the calculations, showing all of your work, and upload it by the due date.