Question

A mobile phone company has three text packages.

Bundle A - 150 text messages for £6 then 5p each per text
Bundle B - 4.2p per text
Bundle C - First 50 text messages 3p each then 5p each text after 50
Adrian wants to sends 200 texts.
Work out the best bundle.
You must show your working.
a) Bundle A
b) Bundle B
c) Bundle C
d) Bundle B and C

Answer 1

After calculating the cost for each bundle, Bundle B is the most cost-effective option for Adrian, with a total cost of £8.40 for sending 200 text messages.

Step-by-step explanation:

The question here involves determining the most cost-effective text message bundle for Adrian, who plans to send 200 texts. We need to calculate the total cost for each bundle and compare them to find the cheapest option. Here's a breakdown of the costs for each of the described bundles:

• Bundle A: 150 texts for £6, plus 5p for each additional text. In Adrian's case, that's 50 texts beyond the initial 150, leading to a total cost of £6 + (50 × 0.05) = £6 + £2.50 = £8.50.
• Bundle B: A flat rate of 4.2p per text. So, the total cost for 200 texts is 200 × 0.042 = £8.40.
• Bundle C: The first 50 texts at 3p each, then 5p for each additional text. Cost for the first 50 texts is 50 × 0.03 = £1.50. For the next 150 texts, the cost is 150 × 0.05 = £7.50. Adding these together, Bundle C costs £1.50 + £7.50 = £9.00.

After calculating the total cost of each bundle, it's evident that Bundle B is the cheapest option for Adrian, with a total cost of £8.40.