CEMC Cayley, 2010

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

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?

(A) $14$ (B) $15$ (C) $16$ (D) $17$ (E) $18$

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