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

Question 9
A
$$\frac{9}{13}$$
B
$$\frac{7}{13}$$
C
D
9$$\frac{3}{5}$$
Explanation.

$$\frac{3}{4}$$ t + $$\frac{1}{3}$$ (21 - t) = 11

Multiply through by the LCM of 4 and 3 which is 12

12 x($$\frac{3}{4}$$ t) + 12 x ($$\frac{1}{3}$$ (21 - t)) = (11 x 12)

9t + 4(21 - t) = 132

9t + 84 - 4t = 132

5t + 84 = 132

5t = 132 - 84 = 48

t = $$\frac{48}{5}$$

t = 9 $$\frac{3}{5}$$