Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,

Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,

Answer Details

First, we simplify the left-hand side of the equation: \begin{align*} \frac{3}{4}t + \frac{1}{3}(21-t) &= 11 \\ \frac{3}{4}t + 7 - \frac{1}{3}t &= 11 \\ \frac{5}{12}t &= 4 \\ t &= \frac{4 \times 12}{5} \\ t &= \frac{48}{5} \end{align*} Therefore, the value of t is \(9\frac{3}{5}\). So, the correct answer is (d).