Question

The nutrition label on a bottle of cola reports that a 8.0 fl oz serving contains 34 g of sugar. How many kilograms of sugar are in a 2.0 L bottle of cola? Use the conversion 1 L = 33.8 fl oz. Round to 2 decimal places.

Answer 1

First, we need to convert 2.0 L to fl oz. Using the conversion factor 1 L = 33.8 fl oz, we get:

`2.0\text{ L = }2.0\text{ L }\cdot\frac{33.8\text{ fl oz}}{1\text{ L}}=67.6\text{ fl oz}`

8.0 fl oz contains 34 g of sugar. To find how many grams of sugar are in 67.6 fl oz, we can use the next proportion:

`\frac{8.0\text{ fl oz}}{67.6\text{ fl oz}}=\frac{34\text{ g of sugar}}{x\text{ g of sugar}}`

Cross multiplying:

`\begin{gathered} 8.0\cdot x=34\cdot67.6 \\ 8.0\cdot x=2298.4 \\ \text{ Dividing by 8.0 at both sides of the equation:} \\ (8.0\cdot x)/(8.0)=(2298.4)/(8.0) \\ x=287.3\text{ g of sugar} \end{gathered}`

1000 g of sugar is equivalent to 1 kg of sugar. Using this conversion factor, we get:

`287.3\text{ g of sugar = }287.3\text{ g of sugar }\cdot\frac{1\text{ kg of sugar}}{1000\text{ g of sugar}}\approx0.29\text{ kg of sugar}`

There are 0.29 kg of sugar in 2 L of cola