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Charlie and Jasmine share cartons of apple juice - OCR - GCSE Maths - Question 5 - 2020 - Paper 1
Question 5
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 5 - 2020 - Paper 1
Step 1
How much do Charlie and Jasmine drink in a day?
Answer
To find the total amount of juice Charlie and Jasmine drink in a day, we need to sum their daily consumption:
Charlie drinks rac{1}{3} of a carton, and Jasmine drinks rac{2}{5} of a carton. To add these fractions, we need a common denominator:
The least common multiple of 3 and 5 is 15, so we convert:
- Charlie's consumption: rac{1}{3} = rac{5}{15}
- Jasmine's consumption: rac{2}{5} = rac{6}{15}
Now sum their daily consumption:
rac{5}{15} + rac{6}{15} = rac{11}{15}
Thus, together they drink rac{11}{15} of a carton each day.
Step 2
How much juice do they need for 10 days?
Answer
Over 10 days, the total amount they drink is:
rac{11}{15} imes 10 = rac{110}{15} = rac{22}{3} cartons of juice.
Converting this to a mixed number gives: rac{22}{3} = 7 rac{1}{3} cartons.
Since they cannot buy a fraction of a carton, they need to round up to 8 cartons.
Step 3