Question

The nutrition label on a bottle of cola reports that a 8.0 fl oz serving contains 25 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.

Answer 1

Answer:

0.21 kg  

Step-by-step explanation:

      Volume of cola = 2.0 L × (33.8 fl oz/1L)

                                = 67.6 fl oz

     Grams of sugar = 67.6 fl oz × (25 g sugar/8.0 fl oz)

                                = 210 g sugar

Kilograms of sugar = 210 g × (1 kg/1000 g)

                               = 0.21 kg

Answer 2

The mass of sugar contained in a 2.0 L bottle of cola is 0.21125 kg.

In the first place, the following rule of three is applied to make the change of units of the volume of the bottle: if by equivalence 1 L is equal to 33.8 fl oz, 2 L bottle of cola is equal to how many fl oz?

$fl oz=\frac{2 Lx33.8 fl oz}{1 L}$

fl oz= 67.6

On the other side, the nutrition label on a bottle of cola reports that a 8.0 fl oz serving contains 25 g of sugar. Then the following rule of three is applied: if 8 fl oz contain 25 g of sugar, 67.6 fl oz bottle of cola contain how much sugar mass?

$mass of sugar=\frac{67.6 flozx25 grams of sugar}{8 fl oz}$

mass of sugar= 211.25 grams

Finally, knowing that 1000 g is equal to 1 kg, the mass of sugar contained in a 2.0 L bottle of cola is 0.21125 kg.

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