Question

Solve for $t$:

$\frac{t}{2}+4=\frac{3}{4}t-5$.

• A. $4$
• B. $9$
• C. $18$
• D. $36$

Answer 1

The correct option is D $36$

Given, $\frac{1}{2}t+4=\frac{3}{4}t-5$.

Transposing $t$ terms to one side, we get,

$\Rightarrow \frac{1}{2}t-\frac{3}{4}t=-5-4$

$\Rightarrow \frac{2t-3t}{4}=-9$ …[Cross-multiplying the denominators on the LHS]

$\Rightarrow \frac{-t}{4}=-9$

$\Rightarrow -t=-36$ ...[Multiplying $4$ on both sides]

$\Rightarrow t=36$.

Hence, option $D$ is correct.