Question

A.) A pack of 8 batteries costs £3.99. How much does each battery cost? Give your answer to the nearest penny.

b.) A pack of 6 batteries of the same type costs £2.79. By calculating the price per battery, determine if this is a better value. You must show your working.

Answer 1

After calculating the cost per battery of a pack of 8 and a pack of 6 batteries, it has been found that the pack of 6 batteries offers better value, with each battery costing £0.47 compared to £0.50 per battery in the pack of 8.

Step-by-step explanation:

To find the cost of each battery in a pack of 8 batteries costing £3.99, we need to divide the total cost by the number of batteries:

1. Cost per battery = Total cost of pack ÷ Number of batteries in the pack
2. Cost per battery = £3.99 ÷ 8
3. Cost per battery = £0.49875
4. Cost per battery (to the nearest penny) = £0.50

To compare the value of a pack of 8 to a pack of 6, we'll do another calculation:

1. Cost per battery for a pack of 6 = Total cost of pack ÷ Number of batteries in the pack
2. Cost per battery = £2.79 ÷ 6
3. Cost per battery = £0.465
4. Cost per battery (to the nearest penny) = £0.47

Based on our calculations, each battery in the pack of 6 costs £0.47, which is cheaper than the £0.50 cost per battery in the pack of 8. Therefore, the pack of 6 batteries is the better value.