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Pippa owns a snack bar - OCR - GCSE Maths - Question 11 - 2018 - Paper 1
Question 11
Pippa owns a snack bar. (a) She uses \( \frac{3}{5} \) of a kilogram of spread each day. Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub. ... 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?
Answer
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Calculate total spread needed:
Pippa uses ( \frac{3}{5} ) kg per day for 14 days, so the total is:
[ \frac{3}{5} \times 14 = \frac{42}{5} = 8.4 \text{ kg} ] -
Calculate the number of tubs needed:
- 1 kg tub: ( 8.4 \div 1 = 8.4 ) tubs
- 2 kg tub: ( 8.4 \div 2 = 4.2 ) tubs
Since we can't have a fraction of a tub, round up to the nearest whole number:
- Using 9 tubs of 1 kg
- Using 5 tubs of 2 kg
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Calculate costs for each option:
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For 1 kg tubs:
[ 9 \text{ tubs} \times £3.20 = £28.80 ] -
For 2 kg tubs:
[ 5 \text{ tubs} \times £6.15 = £30.75 ]
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Determine the lowest price:
The cheapest option is to buy 9 tubs of 1 kg for a total of £28.80.
Step 2
Calculate the amount of rent she paid in 2017.
Answer
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Calculate the increase in rent:
Given that the rent increased by 14%, we calculate:
[ £1650 \times 0.14 = £231 ] -
Determine the new rent amount:
Add the increase to the original rent:
[ £1650 + £231 = £1881 ]
Therefore, the amount of rent Pippa paid in 2017 is £1881.