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Leo, Kush and Mai share some money in the ratio 3 : 5 : 8 - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

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Question 12

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Leo, Kush and Mai share some money in the ratio 3 : 5 : 8. Kush receives £750 more than Leo. Calculate the total amount of money that they shared.

Worked Solution & Example Answer:Leo, Kush and Mai share some money in the ratio 3 : 5 : 8 - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Step 1

Identify the ratios and variables

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Answer

Let the amounts received by Leo, Kush, and Mai be represented as:

  • Leo = 3x
  • Kush = 5x
  • Mai = 8x

We know from the problem that: Kush = Leo + £750, which gives us: 5x = 3x + 750.

Step 2

Solve for x

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Answer

Subtracting 3x from both sides yields:

5x−3x=750 2x=750 x=3755x - 3x = 750 \ 2x = 750 \ x = 375

Step 3

Calculate the individual amounts

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Answer

Now we can find the individual amounts:

  • Leo = 3x = 3(375) = £1125
  • Kush = 5x = 5(375) = £1875
  • Mai = 8x = 8(375) = £3000.

Step 4

Calculate the total amount shared

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Answer

To find the total amount of money shared, we sum the individual amounts:

Total = Leo + Kush + Mai

Total=1125+1875+3000=6000Total = 1125 + 1875 + 3000 = 6000

Thus, the total amount of money that they shared is £6000.

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