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Two brands of shampoo are for sale in the shop. Brand A is 350ml for €5.29 and Brand B is 700ml for €8.99. Which brand is better value?

Question

Two brands of shampoo are for sale in the shop.

  • Brand A: 350ml for €5.29
  • Brand B: 700ml for €8.99

Which brand is better value?

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Solution

1. Break Down the Problem

To determine which brand of shampoo offers better value, we'll calculate the price per milliliter for both Brand A and Brand B.

2. Relevant Concepts

The price per milliliter can be calculated by dividing the total price by the total volume of the product. The formula is: Price per ml=Total PriceTotal Volume (ml) \text{Price per ml} = \frac{\text{Total Price}}{\text{Total Volume (ml)}}

3. Analysis and Detail

For Brand A:

  • Total Price = €5.29
  • Total Volume = 350 ml Price per ml for Brand A=5.293500.0151€ per ml \text{Price per ml for Brand A} = \frac{5.29}{350} \approx 0.0151 \, \text{€ per ml}

For Brand B:

  • Total Price = €8.99
  • Total Volume = 700 ml Price per ml for Brand B=8.997000.0128€ per ml \text{Price per ml for Brand B} = \frac{8.99}{700} \approx 0.0128 \, \text{€ per ml}

4. Verify and Summarize

Now, we have calculated the price per milliliter for both brands:

  • Brand A: €0.0151 per ml
  • Brand B: €0.0128 per ml

Brand B has a lower price per milliliter, indicating that it provides better value for money.

Final Answer

Brand B is the better value option at approximately €0.0128 per ml.

This problem has been solved

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