Question

In a coffee shop, the following coffee samples are prepared for customers.

i. 10 g of sugar added to 100 g of coffee
ii. 10 g of sugar added to 200 g of coffee
iii. 4 g of sugar added to 200 g of coffee
iv. 4 g of sugar added to 100 g of coffee

Based on the amount of sugar added, which sequence ranks the coffee from the sweetest coffee to the least-sweet coffee?
i, ii , iii, iv
iii, iv, ii, i
iv, i, ii, iii
i, ii, iv, iii

Answer 1

To rank the coffee samples based on sweetness, we need to calculate the concentration of sugar in each sample. This is done by taking the amount of sugar divided by the total mass of the coffee sample (sugar + coffee).

Let's calculate the sugar concentration for each sample:

1. **Sample i:**
- Sugar: 10 g
- Coffee: 100 g
- Total mass = 10 g + 100 g = 110 g
- Sugar concentration = 10 g / 110 g = 0.0909 (approximately)

2. **Sample ii:**
- Sugar: 10 g
- Coffee: 200 g
- Total mass = 10 g + 200 g = 210 g
- Sugar concentration = 10 g / 210 g = 0.0476 (approximately)

3. **Sample iii:**
- Sugar: 4 g
- Coffee: 200 g
- Total mass = 4 g + 200 g = 204 g
- Sugar concentration = 4 g / 204 g = 0.0196 (approximately)

4. **Sample iv:**
- Sugar: 4 g
- Coffee: 100 g
- Total mass = 4 g + 100 g = 104 g
- Sugar concentration = 4 g / 104 g = 0.0385 (approximately)

Now let's rank the samples based on their sugar concentrations:

- Sample i: 0.0909 (sweetest)
- Sample ii: 0.0476
- Sample iv: 0.0385
- Sample iii: 0.0196 (least sweet)

So, the correct sequence from the sweetest coffee to the least sweet coffee is:
**i, ii, iv, iii**

None of the listed options match this exact order, but given the closest ranking:
- i, ii, iv, iii would be the logical sequence based on the calculated concentrations.

Thus, the best options based on the provided choices is:
**i, ii, iv, iii.**