Question

Solve the proportion:$\frac{y}{y+55}=\frac{3}{8}.$

Short answer

The value of y is 33.

Step-by-step solution

Step 1. Given Information

We are given with a proportion which is:

$\frac{y}{y+55}=\frac{3}{8}.$

Step 2. Solving it for y.

Now we multiply both sides with the LCD and solve it for y,

$$\begin{gathered} 8(y+55)\times \frac{y}{y+55}=8(y+55)\times \frac{3}{8}, \\ 8y=3(y+55), \\ 8y=3y+165, \\ 5y=165, \\ y=33. \end{gathered}$$

Hence our result is$y=33.$

Step 3. Checking the final result

Now to check whether our result is correct or not put it in the original equation:

$$\begin{gathered} Puty=33in\frac{y}{y+55}=\frac{3}{8}weget, \\ \frac{33}{33+55}=\frac{3}{8}, \\ \frac{33}{88}=\frac{3}{8}, \\ \frac{3}{8}=\frac{3}{8}. \\ Henceourresultiscorrect. \end{gathered}$$