Final answer:
To calculate how much more glucose is in drink c than in drink f, determine the mass of glucose in both based on their percentages, then subtract the mass in drink f from the mass in drink c, and express it as a percentage of the glucose content in drink f.
Step-by-step explanation:
In order to calculate how much more glucose is in drink c than in drink f, we need to know the amount of glucose in both drinks. However, as the actual amounts are not provided in the question, one would generally use the given concentration of glucose to find the mass of glucose in each drink.
For instance, if drink c contains 20% glucose, you would use this formula to identify the mass of glucose:
mass of glucose in drink c = total mass of drink c × 20%
Similarly, for drink f, if a different percentage is given, you would calculate:
mass of glucose in drink f = total mass of drink f × (percentage of glucose in drink f)
Once you have the mass of glucose for both drink c and drink f, subtract the smaller amount from the larger to find the difference. To express this difference as a percentage, divide the difference by the mass of glucose in drink f and multiply by 100%:
percentage difference = (mass of glucose in drink c - mass of glucose in drink f) / mass of glucose in drink f × 100%
This calculation assumes that we're comparing the same volumes of each drink.
Example: If drink c has 30 grams of glucose and drink f has 20 grams, the percentage difference would be calculated as follows:
((30 g - 20 g) / 20 g) × 100% = (10 g / 20 g) × 100% = 50%
The result implies that drink c contains 50% more glucose than drink f.