There are 24 students in the orchestra and twice that number in the band. There are 35 boys and 13 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?
$${\mathtt{48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{24}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35}}{\mathtt{\,\small\textbf+\,}}{\mathtt{13}} = {\mathtt{120}}$$ There are 120 students in total.
$${\mathtt{48}}{\mathtt{\,\small\textbf+\,}}{\mathtt{24}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35}}{\mathtt{\,\small\textbf+\,}}{\mathtt{13}} = {\mathtt{120}}$$ There are 120 students in total.