2010 Cayley Problem 23

Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45\% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26\% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive?

\textbf{(A)}\ 14\quad \textbf{(B)}\ 15\quad \textbf{(C)}\ 16\quad \textbf{(D)}\ 17\quad \textbf{(E)}\ 18

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.