Question

Akhtar, Ben and Carl each have some money.Akhtar has £65Ben has £100Carl has three £5 notes, one £20 note and some £10 notes.The mean amount of money per person is £80How many £10 notes does Carl have?

Answer 1

To find out how many £10 notes Carl has, we calculate the total money that should be held by all three (Akhtar, Ben, and Carl), which is £80 times 3 people, equaling £240. Subtracting Akhtar's and Ben's money and Carl's other notes, we find Carl should have £40 left in £10 notes. Dividing this by 10 reveals that Carl has four £10 notes.

Step-by-step explanation:

The question is about determining the number of £10 notes Carl has, given the mean amount of money held by Akhtar, Ben, and Carl. We are provided with the following information:

• Akhtar has £65
• Ben has £100
• Carl has three £5 notes and one £20 note
• The mean amount per person is £80

Firstly, let's calculate the total money that should be held by all three:

Mean Amount × Number of People = Total Money
Mean Amount (£80) × 3 (people) = £240

Now, let's find out how much Carl has without his £10 notes:

Total Amount Carl has = (3 × £5) + £20
Total Amount = £15 + £20 = £35

The remaining money which will be in £10 notes is:

£240 (Total Money) - (£65 + £100 + £35)
Remaining Money = £240 - £200
Remaining Money = £40

To find out how many £10 notes make up £40, we divide the remaining money by 10:

Number of £10 notes = Remaining Money / 10
Number of £10 notes = £40 / 10
Number of £10 notes = 4

Therefore, Carl has four £10 notes.