Two competing supermarkets have two differents offers on cans of energy drink. Supermarket A is selling 2 x 135mL cans of energy drink for $2.99, whereas Supermarket B is selling 3 x 230mL cans of energy drink for $5.92. Calculate how much a person can save on a purchase of 30 L of energy drink if she chooses the "best buy" from the two options.

To determine which supermarket offers the better deal and how much a person can save on 30 liters (L) of energy drink, we need to compare the cost per liter for each supermarket. Here are the steps:

### Step 1: Calculate the cost per liter for Supermarket A

- Supermarket A sells 2 cans of 135 mL each for $2.99.
- Total volume for Supermarket A: $ 2 \times 135 \text{ mL} = 270 \text{ mL} $
- Convert 270 mL to liters: $ 270 \text{ mL} = 0.270 \text{ L} $
- Cost per liter at Supermarket A: 
  \[
  \text{Cost per liter} = \frac{\$2.99}{0.270 \text{ L}} \approx \$11.07/\text{L}
  \]

### Step 2: Calculate the cost per liter for Supermarket B

- Supermarket B sells 3 cans of 230 mL each for $5.92.
- Total volume for Supermarket B: $ 3 \times 230 \text{ mL} = 690 \text{ mL} $
- Convert 690 mL to liters: $ 690 \text{ mL} = 0.690 \text{ L} $
- Cost per liter at Supermarket B: 
  \[
  \text{Cost per liter} = \frac{\$5.92}{0.690 \text{ L}} \approx \$8.58/\text{L}
  \]

### Step 3: Determine the best buy and the savings

- Supermarket B offers a lower cost per liter (\$8.58/L) compared to Supermarket A (\$11.07/L).
- Therefore, Supermarket B is the better option.

### Step 4: Calculate the total cost for 30 liters at each supermarket

- Cost for 30 L at Supermarket A: 
  \[
  \text{Cost} = 30 \text{ L} \times \$11.07/\text{L} = \$332.10
  \]
- Cost for 30 L at Supermarket B: 
  \[
  \text{Cost} = 30 \text{ L} \times \$8.58/\text{L} = \$257.40
  \]

### Step 5: Calculate the savings

- Savings by choosing Supermarket B:
  \[
  \text{Savings} = \$332.10 - \$257.40 = \$74.70
  \]

### Conclusion

A person can save **$74.70** on a purchase of 30 liters of energy drink by choosing Supermarket B over Supermarket A.

Would you like further details or have any questions? Here are some related questions you might consider:

1. How would the savings change if the person needed 50 liters instead of 30 liters?
2. What would be the cost difference if Supermarket A reduced its price by 10%?
3. How would the comparison change if the volume of cans in either supermarket were altered?
4. What is the breakeven point in liters where both supermarkets offer the same total cost?
5. How would the analysis differ if there were a discount available for bulk purchases?

**Tip:** When comparing deals, always convert the quantities to the same unit (like liters or milliliters) to ensure an accurate comparison.

Compare the cost per liter of energy drinks between Supermarket A and Supermarket B. Learn how to calculate savings on a purchase of 30 liters based on their respective offers. Supermarket B offers a better deal, saving $74.70 on 30 liters. Includes step-by-step calculations and detailed analysis.

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