Solve for t in the equation (frac{3}{4}t+frac{1}{3}(21-t)) = 11,
-
A.
(frac{9}{13}) -
B.
(frac{9}{5}) -
C.
5 -
D.
(9frac{3}{5})
Correct Answer: Option D
Explanation
(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 + 7times 12 – 4 times t = 11 times 12}{12}\
9t + 84 – 4t = 132; 5t = 132 – 84\
5t = 48; t = frac{48}{5} = 9frac{3}{5})