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Year 4 have collected [tex] \frac{4}{5} [/tex] of their target of £30.
Year 6 have collected 32% of their target of £50.

What is the difference between the amount that Year 4 have collected and the amount that Year 6 have collected?

A. £12
B. £8
C. £10
D. £8.50
E. £14


Sagot :

To solve the problem, we need to determine how much each class has collected and then find the difference between these amounts. Let's go through the steps in detail:

1. Calculate the amount Year 4 has collected:
- Year 4's target is £30.
- They have collected [tex]\(\frac{4}{5}\)[/tex] of their target.

[tex]\[ \text{Amount collected by Year 4} = \frac{4}{5} \times 30 = 24 \, \text{pounds} \][/tex]

2. Calculate the amount Year 6 has collected:
- Year 6's target is £50.
- They have collected 32% of their target.

[tex]\[ \text{Amount collected by Year 6} = \frac{32}{100} \times 50 = 16 \, \text{pounds} \][/tex]

3. Determine the difference between the amounts collected:
- Amount collected by Year 4 = £24
- Amount collected by Year 6 = £16

[tex]\[ \text{Difference} = 24 - 16 = 8 \, \text{pounds} \][/tex]

Therefore, the difference between the amount that Year 4 have collected and the amount that Year 6 have collected is £8.

So, the correct answer is (B) £8.
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