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Turkey NMO 2007 1st Round - P07 (Algebra)

Source:

October 4, 2012
floor function

Problem Statement

What is the sum of real numbers satisfying the equation ⌊6x+58⌋=15x−75\left \lfloor \frac{6x+5}{8} \right \rfloor = \frac{15x-7}{5}?
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 8190<spanclass=′latex−bold′>(C)</span> 715<spanclass=′latex−bold′>(D)</span> 45<spanclass=′latex−bold′>(E)</span> 1915 <span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ \frac{81}{90} \qquad<span class='latex-bold'>(C)</span>\ \frac{7}{15} \qquad<span class='latex-bold'>(D)</span>\ \frac{4}{5} \qquad<span class='latex-bold'>(E)</span>\ \frac{19}{15}
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