Question

Solve Proportions

$\frac{d}{d-48}=-\frac{13}{3}$

Short answer

Ans: $\frac{d}{d-48}=-\frac{13}{3}\Rightarrow d=39$

Step-by-step solution

Step 1. Given information

given $\frac{d}{d-48}=-\frac{13}{3}$

Step 2. Simplify

$$\begin{gathered} \frac{d}{d-48}=-\frac{13}{3}\Rightarrow 3d=-13d+624 \\ \Rightarrow 16d=624 \\ \Rightarrow d=39 \end{gathered}$$

Step 3. Check

check, $d=39$in the original proportion.

$$\begin{gathered} \frac{d}{d-48}=-\frac{13}{3} \\ \Rightarrow \frac{39}{39-48}=-\frac{{\displaystyle 13}}{{\displaystyle 3}} \\ \Rightarrow -4.3=-4.3 \end{gathered}$$