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Mike drinks $ rac{2}{5}$ of a litre of juice each day - OCR - GCSE Maths - Question 9 - 2019 - Paper 1

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Mike drinks $ rac{2}{5}$ of a litre of juice each day. Juice costs £4.40 for a 2 litre carton and £2.60 for a 1 litre carton. Mike buys enough juice to last for 7 ... show full transcript

Worked Solution & Example Answer:Mike drinks $ rac{2}{5}$ of a litre of juice each day - OCR - GCSE Maths - Question 9 - 2019 - Paper 1

Step 1

Calculate the total juice needed for 7 days

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Answer

Mike drinks rac{2}{5} of a litre each day. Over 7 days, he will need:

ext{Total juice needed} = rac{2}{5} ext{ litres/day} imes 7 ext{ days} = rac{14}{5} ext{ litres} = 2.8 ext{ litres}

Step 2

Determine the best purchase option

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Answer

Juice prices are:

  • £4.40 for a 2 litre carton
  • £2.60 for a 1 litre carton

To cover 2.8 litres, Mike should consider buying:

  • One 2 litre carton and one 1 litre carton:
    • Cost = £4.40 + £2.60 = £7.00

This gives him 3 litres, which is more than enough for his needs.

Step 3

Conclusion on the lowest price

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Answer

Based on the calculations, the lowest price Mike can pay for the juice he needs is:

£7.00

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