In a weighted average, some values are worth more than others in computing an average value. A teacher gives a quiz, a test, and a final exam. The expression $\frac{q+3t+5f}{9}$ gives the weighted average of the scores where $q$ is the quiz score, $t$ is the test score, and $f$ is the final exam score. What is the weighted average for a student who scores 86 on the quiz, 75 on the test, and 80 on the final exam?