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

Solve for t in the equation 34t+13(21t) = 11,

A.

913

B.

95

C.

5

D.

935

Correct answer is D

\frac{3}{4}t+\frac{1}{3}(21-t) = 11; \frac{3t}{4} + \frac{7}{1} - \frac{t}{3} = \frac{11}{1}\\ \frac{3 \times 3t + 7\times 12 – 4 \times t = 11 \times 12}{12}\\ 9t + 84 – 4t = 132; 5t = 132 – 84\\ 5t = 48; t = \frac{48}{5} = 9\frac{3}{5}