Question

One serving of trail mix has $67$ grams of carbohydrates, which is $22\%$ of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

Short answer

The total recommended daily amount of carbohydrates is $304.55$grams.

Step-by-step solution

Step 1. Given Information  

One serving of trail mix is equal to $67$grams of carbohydrates and it is $22\%$of the recommended daily amount. We have to find the total recommended daily amount of carbohydrates.

Step 2. Translate into an equation  

Let xbe the total amount of carbohydrates.

Now, $22\%$of the total recommended daily amount of carbohydrate is $67$grams

So, the equation is

$\left(22\%\right)·x=67$

Step 3. Solve the equation  

By proceeding with the calculation further

$$\begin{gathered} \left(22\%\right)·x=67 \\ \left(0.22\right)x=67 \\ x=\frac{67}{0.22} \\ x\approx 304.55 \end{gathered}$$

Step 4. Check the answer 

So, yes $22\%\mathrm{of}304.55\mathrm{is}67.$

Thus, the total recommended daily amount of carbohydrates is $304.55$grams.