Question

use a proportion to solve the problem. use the fuel factors given in the table. 32 calories of carbohydrates = _ grams
carbohydrates → 4 calories per 1 gram
fats → 9 calories per 1 gram
proteins → 4 calories per 1 gram
32 calories of carbohydrates are available in grams of carbohydrates. (type a whole number, proper fraction, or mixed number.)

Explanation:

Step1: Set up the proportion

Let $x$ be the number of grams of carbohydrates. The proportion is $\frac{4\text{ calories}}{1\text{ gram}}=\frac{32\text{ calories}}{x\text{ grams}}$.

Step2: Cross - multiply

$4x = 32\times1$.

Step3: Solve for $x$

Divide both sides of the equation $4x = 32$ by 4. So $x=\frac{32}{4}=8$.

Answer:

8