B. \( 2 \frac{5}{8} t=14 \frac{1}{2} ; t=\square \)

Let's tackle this equation step by step! Start by converting the mixed numbers into improper fractions. The left side becomes \(2 \frac{5}{8} = \frac{21}{8}\), and the right hand side \(14 \frac{1}{2} = \frac{29}{2}\). Now the equation is: \[ \frac{21}{8} t = \frac{29}{2} \] To isolate \(t\), multiply both sides by the reciprocal of \(\frac{21}{8}\), which is \(\frac{8}{21}\). This gives you: \[ t = \frac{29}{2} \cdot \frac{8}{21} \] Calculating that out results in \(t = \frac{29 \times 8}{2 \times 21} = \frac{232}{42} = \frac{116}{21} \approx 5 \frac{11}{21}\). Tada! You've found \(t\).