Question

Max needs to buy batteries for the cars. There are two packs to choose from. Pack A £5.60 8 batteries each battery lasts 1 3-hours Pack B Which pack is better value for money, A or B? You must show your working. £6.30 10 batteries each battery lasts 3 hours​

Answer 1

Answer: Pack B is a better value for money based on the cost per battery hour

Explanation:

We need to calculate the cost per battery hour for each pack to determine which battery pack is a better value for money. This will allow us to compare the cost efficiency of Pack A and Pack B.

Pack A:

- Cost: £5.60

- Number of batteries: 8

- Battery life: 1 3-hours (which is equivalent to 1.33 hours)

Cost per battery hour for Pack A:

Cost per battery = £5.60 / 8 batteries = £0.70 per battery

Cost per battery hour = £0.70 / 1.33 hours ≈ £0.53 per battery hour

Pack B:

- Cost: £6.30

- Number of batteries: 10

- Battery life: 3 hours

Cost per battery hour for Pack B:

Cost per battery = £6.30 / 10 batteries = £0.63 per battery

Cost per battery hour = £0.63 / 3 hours = £0.21 per battery hour

Now, we can compare the cost per battery hour for both packs:

- Pack A: £0.53 per battery hour

- Pack B: £0.21 per battery hour

Pack B is a better value for money based on the cost per battery hour. It is more cost-efficient because it provides 3 hours of battery life per battery for a lower cost than Pack A, which offers 1.33 hours of battery life per battery for a higher cost.