#### Answer

137.5 grams of carbohydrates would be in a plan that has 2200 calories.

#### Work Step by Step

Let X represent the amount of carbohydrates in a plan that has 2200 calories.
The ratio of calories to grams of carbohydrates is 16 to 1, or $\frac{16}{1}$.
Now, let’s set up a proportion with the ratio given and a ratio which compares the amount of calories to the amount of grams of carbohydrates.
So, $\frac{16}{1}$ = $\frac{2200}{X}$
To solve this equation, we equate the cross products.
16 $\times$ X = 2200 $\times$ 1
16X = 2200
Divide both sides by 16
X = 137.5
137.5 grams of carbohydrates would be in a plan that has 2200 calories.