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Pippa owns a snack bar - OCR - GCSE Maths - Question 11 - 2018 - Paper 1

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Pippa owns a snack bar. (a) She uses $ rac{3}{5}$ of a kilogram of spread each day. Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub. Pippa ... show full transcript

Worked Solution & Example Answer:Pippa owns a snack bar - OCR - GCSE Maths - Question 11 - 2018 - Paper 1

Step 1

What is the lowest price Pippa can buy this spread for?

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Answer

First, we calculate the total amount of spread Pippa needs for 14 days:

ext{Total spread} = 14 imes rac{3}{5} = rac{42}{5} = 8.4 ext{ kg}

Next, we determine how many 1 kg and 2 kg tubs are needed:

  • Buying 1 kg tubs:

    • Number of 1 kg tubs required = 9 tubs (since 8.4kg=98.4 kg = 9 kg)
    • Cost = 9imes£3.20=£28.809 imes £3.20 = £28.80

  • Buying 2 kg tubs:

    • Number of 2 kg tubs required = 5 tubs and 1 kg remaining
    • Cost = 5imes£6.15+£3.20=£30.75+£3.20=£33.955 imes £6.15 + £3.20 = £30.75 + £3.20 = £33.95

Thus, the lowest price Pippa can buy the spread for is £28.80.

Step 2

Calculate the amount of rent she paid in 2017.

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Answer

To find the rent paid in 2017 after a 14% increase:

extNewRent=1650+(0.14imes1650) ext{New Rent} = 1650 + (0.14 imes 1650)

First, calculate the increase:

0.14imes1650=2310.14 imes 1650 = 231

Now, add the increase to the original rent:

1650+231=18811650 + 231 = 1881

Therefore, the amount of rent Pippa paid in 2017 is £1881.

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