Question

if a 12 ounce (oz) can of soda contains 40.5 grams of sugar, and each gram of sugar has 4 calories, how many calories from sugar are in a 20 oz bottle of the same kind of soda?

Explanation:

Step1: Find sugar per ounce

First, find out how many grams of sugar are in 1 ounce of soda. We know that a 12 - ounce can has 40.5 grams of sugar. So, the amount of sugar per ounce is $\frac{40.5}{12}$ grams per ounce.

Step2: Find sugar in 20 - oz bottle

Multiply the sugar per ounce by 20 to get the total grams of sugar in a 20 - ounce bottle. The total grams of sugar in a 20 - ounce bottle is $\frac{40.5}{12}\times20$ grams.

Step3: Calculate calories

Since each gram of sugar has 4 calories, multiply the total grams of sugar in a 20 - ounce bottle by 4 to get the total calories. The total calories is $4\times\frac{40.5}{12}\times20$.
$4\times\frac{40.5}{12}\times20=\frac{4\times40.5\times20}{12}=\frac{3240}{12} = 270$

Answer:

270