Solve for t in the equation \(\frac{3}{4}\)t + \(\frac{1}{3}\)(21 - t) = 11
A. \(\frac{9}{13}\) B. \(\frac{7}{13}\) C. 5 D. 9\(\frac{3}{5}\)
Correct Answer: D
Explanation
\(\frac{3}{4}\) t + \(\frac{1}{3}\) (21 - t) = 11 Â Multiply through by the LCM of 4 and 3 which is 12 Â 12 x(\(\frac{3}{4}\) t) + 12 x (\(\frac{1}{3}\) (21 - t)) = (11 x 12) Â 9t + 4(21 - t) = 132 Â 9t + 84 - 4t = 132 Â 5t + 84 = 132 Â 5t = 132 - 84 = 48 Â t = \(\frac{48}{5}\) Â t = 9 \(\frac{3}{5}\) Â Answer is D
