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Helen delivers parcels - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Question 12

Helen delivers parcels. On Tuesday, Helen delivered 20% more parcels than on Monday. On Wednesday, Helen delivered 50% fewer parcels than on Tuesday. On Wednesday, H... show full transcript

Worked Solution & Example Answer:Helen delivers parcels - OCR - GCSE Maths - Question 12 - 2017 - Paper 1

Step 1

Calculate the number of parcels delivered on Tuesday

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Answer

Let the number of parcels delivered on Monday be denoted as $x$ . Since Helen delivered 20% more parcels on Tuesday, the number of parcels delivered on Tuesday is:

1.2x

Step 2

Calculate the number of parcels delivered on Wednesday

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Answer

On Wednesday, Helen delivered 50% fewer parcels than on Tuesday. Therefore, the number of parcels delivered on Wednesday is:

0.5 imes (1.2x) = 0.6x

Step 3

Set up the equation based on Wednesday's delivery

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Answer

We know that on Wednesday, Helen delivered 72 parcels, so we set up the equation:

0.6x = 72

Step 4

Solve for x

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Answer

To find $x$ , we can divide both sides of the equation by 0.6:

x = \frac{72}{0.6} = 120

Step 5

Final result

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Answer

Thus, the number of parcels that Helen delivered on Monday is 120.

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