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Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2007 National Olympiad First Round
7
7
Part of
2007 National Olympiad First Round
Problems
(1)
Turkey NMO 2007 1st Round - P07 (Algebra)
Source:
10/4/2012
What is the sum of real numbers satisfying the equation
⌊
6
x
+
5
8
⌋
=
15
x
−
7
5
\left \lfloor \frac{6x+5}{8} \right \rfloor = \frac{15x-7}{5}
⌊
8
6
x
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5
⌋
=
5
15
x
−
7
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15
<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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19
floor function