To determine which bag of potatoes offers better value for money, we need to compare the cost per kilogram of each option. Here is a step-by-step solution:
1. Convert the weight of the 400 g bag to kilograms:
Since there are 1000 grams in a kilogram, we convert 400 grams to kilograms:
[tex]\[
\frac{400 \text{ g}}{1000} = 0.4 \text{ kg}
\][/tex]
2. Calculate the cost per kilogram for the large bag (2.5 kg for £4):
To find the cost per kilogram, divide the total cost by the weight in kilograms:
[tex]\[
\frac{£4}{2.5 \text{ kg}} = £1.60 \text{ per kg}
\][/tex]
3. Calculate the cost per kilogram for the small bag (0.4 kg for £0.60):
Again, divide the total cost by the weight in kilograms:
[tex]\[
\frac{£0.60}{0.4 \text{ kg}} \approx £1.50 \text{ per kg}
\][/tex]
After calculating the cost per kilogram for both bags, we compare the two values:
- Large bag: £1.60 per kg
- Small bag: £1.50 per kg
Since £1.50 per kg is less than £1.60 per kg, the small bag of potatoes (0.4 kg for £0.60) offers better value for money.
