Question

Use algebra to solve the proportion.

$\frac{x}{8}=\frac{35}{56}$

Short answer

The solution is$x=5$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{x}{8}=\frac{35}{56}.$

Step 2.  To determine

We have to solve the proportion using algebra.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{x}{8}=\frac{35}{56}\\ \frac{x}{8}\cdot 8=\frac{35}{56}\cdot 8\left[\text{multiplyeachsideby8}\right]\\ x=\frac{280}{56}\left[\text{simplify}\right]\\ =5\left[\text{divide}\right]\end{array}$

So, the solution is $x=5$.