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Jack and Alex take rubbish to be recycled - OCR - GCSE Maths - Question 12 - 2019 - Paper 1

Question 12

Jack and Alex take rubbish to be recycled. Jack takes 520 kilograms, 87% of which can be recycled. Alex takes 750 kilograms, 61% of which can be recycled. Calculate ... show full transcript

Worked Solution & Example Answer:Jack and Alex take rubbish to be recycled - OCR - GCSE Maths - Question 12 - 2019 - Paper 1

Step 1

Calculate recycled rubbish for Jack

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Answer

To find the amount of rubbish that can be recycled by Jack, we use the formula:

ext{Recycled amount for Jack} = ext{Total weight} imes ext{Recycling percentage} \ = 520 ext{ kg} imes 0.87 \ = 452.4 ext{ kg}

Step 2

Calculate recycled rubbish for Alex

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Answer

Next, we find the amount of rubbish that can be recycled by Alex using a similar formula:

ext{Recycled amount for Alex} = ext{Total weight} imes ext{Recycling percentage} \ = 750 ext{ kg} imes 0.61 \ = 457.5 ext{ kg}

Step 3

Determine who recycles more and the difference

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Answer

Now we compare the recycled amounts:

Jack: 452.4 kg
Alex: 457.5 kg

Alex takes the greatest amount of rubbish that can be recycled. The difference is calculated as follows:

ext{Difference} = 457.5 ext{ kg} - 452.4 ext{ kg} = 5.1 ext{ kg}

Therefore, Alex takes 5.1 kg more recycled rubbish than Jack.

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