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Rob has been asked to divide 120 in the ratio 3:5 Here is his working - Edexcel - GCSE Maths - Question 2 - 2022 - Paper 3

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Rob has been asked to divide 120 in the ratio 3:5 Here is his working. 120 ÷ 3 = 40 120 ÷ 5 = 24 Rob's working is not correct. Describe what Rob has done wrong.

Worked Solution & Example Answer:Rob has been asked to divide 120 in the ratio 3:5 Here is his working - Edexcel - GCSE Maths - Question 2 - 2022 - Paper 3

Step 1

Describe what Rob has done wrong.

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Answer

Rob has made a mistake in the way he approached dividing 120 into the ratio 3:5. He should have added the parts of the ratio first, which are 3 and 5, giving a total of:

3+5=83 + 5 = 8

Next, to find each part's value, he should have divided 120 by the total parts (8) first. Therefore, his calculation should have been:

1208=15\frac{120}{8} = 15

Now, to find each section of the ratio:

  • For the 3 parts: 3×15=453 \times 15 = 45
  • For the 5 parts: 5×15=755 \times 15 = 75

So, the correct division of 120 in the ratio 3:5 is 45 and 75. In summary, Rob did not add the two ratio parts together before dividing, which led to incorrect calculations.

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