Question

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

Short answer

The solution of the given proportion is$y=33$.

Step-by-step solution

Given information

The equation is given as $\frac{y}{y+55}=\frac{3}{8}$to find its solution.

Find the solution

Apply the algebraic operations to find the solution of the given equation.

• Apply the cross multiplication and the exchange of the terms to find the required solution.

$\begin{array}{rcl}\frac{y}{y+55}& =& \frac{3}{8}\\ y\left(8\right)& =& 3(y+55)\\ 8y& =& 3y+165\\ 8y-3y& =& 165\\ 5y& =& 165\\ y& =& \frac{165}{5}\\ & =& 33\end{array}$