Li Yan had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{1}{2}$$ of the remainder on a bag. The book and the bag cost ＄$$132$$ altogether. How much money did she have at first?     Below is Thomas\textquotesingle s solution.  $$\frac{1}{3}$$ + $$\frac{1}{2}$$ = $$\frac{2}{6}$$ + $$\frac{3}{6}$$ = $$\frac{5}{6}$$  $5$ units = $132$  $1$ unit = $132 \div 5$ = $26$  $6$ units = $26 \times 6$ = $156$  Li Yan had $156 at first.     Is Thomas\textquotesingle s answer correct? If not, what is the correct answer? 
Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base