Question

A bacon cheeseburger at a popular fast food restaurant contains $2070$ milligrams (mg) of sodium, which is $86\%$ of the recommended daily amount. What is the total recommended daily amount of sodium?

Short answer

The total recommended daily amount of sodium is $2407$milligrams.

Step-by-step solution

Step 1. Given Information  

A bacon cheeseburger contains $270$milligrams of sodium and it is $86\%$ of the recommended daily amount. We have to find the total recommended daily amount of sodium.

Step 2. Translate into an equation 

Let xbe the total amount of sodium.

Now, $86\%$of the total recommended daily amount of sodium is $2070$milligrams

So, the equation is

$\left(86\%\right)·x=2070$

Step 3. Solve the equation  

By proceeding with the calculation further

$$\begin{gathered} \left(86\%\right)·x=2070 \\ \left(0.86\right)·x=2070 \\ x=\frac{2070}{0.86} \\ x\approx 2407 \end{gathered}$$

Step 4. Check the answer  

So, yes $86\%\mathrm{of}2407\mathrm{is}2070.$

Thus, the total recommended daily amount of sodium is $2407$milligrams.