Charlie and Jasmine share cartons of apple juice - OCR - GCSE Maths - Question 18 - 2020 - Paper 1
Question 18
Charlie and Jasmine share cartons of apple juice.
Charlie drinks $ rac{1}{3}$ of a carton every day.
Jasmine drinks $ rac{2}{5}$ of a carton every day.
Any apple ... show full transcript
Worked Solution & Example Answer:Charlie and Jasmine share cartons of apple juice - OCR - GCSE Maths - Question 18 - 2020 - Paper 1
Step 1
Calculate Daily Juice Consumption
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Answer
First, we need to find out how much juice Charlie and Jasmine consume together in one day.
Charlie's daily consumption: rac{1}{3} carton
Jasmine's daily consumption: rac{2}{5} carton
To add these fractions, we need a common denominator. The least common multiple of 3 and 5 is 15.
Converting the fractions:
Charlie: rac{1}{3} = rac{5}{15}
Jasmine: rac{2}{5} = rac{6}{15}
Now, add their daily consumption:
rac{5}{15} + rac{6}{15} = rac{11}{15} ext{ cartons per day}
Step 2
Calculate Total Consumption for 10 Days
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Answer
Next, we will calculate their total consumption over 10 days:
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Answer
Since Charlie and Jasmine cannot purchase a fraction of a carton, they will need to round up to the nearest whole number. Thus, they need to buy 8 cartons.
Step 4
Calculate Total Cost
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Answer
Now, we calculate the total cost for 8 cartons. The cost per carton is 70p:
Total cost in pence:
8imes70=560extpence
To convert this to pounds:
rac{560}{100} = 5.60 ext{ pounds}
Step 5
Final Answer
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Thus, Charlie and Jasmine spend a total of £5.60 for the cartons.
