Carol makes birthday cards - OCR - GCSE Maths - Question 1 - 2019 - Paper 4
Question 1
Carol makes birthday cards.
Each card takes the same amount of time to make.
She makes 3 cards in 48 minutes.
She has an order for 80 cards.
Can she complete this ... show full transcript
Worked Solution & Example Answer:Carol makes birthday cards - OCR - GCSE Maths - Question 1 - 2019 - Paper 4
Step 1
Calculate time to make one card
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Answer
To find out how long it takes to make one card, we take the total time for 3 cards and divide it by 3:
Time per card=348 minutes=16 minutes per card
Step 2
Calculate total time for 80 cards
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Answer
Now, we calculate the total time needed for 80 cards:
Total time for 80 cards=80 cards×16 minutes per card=1280 minutes
Step 3
Convert total time to hours
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Next, we convert minutes into hours since the working timeframe is in hours:
Total hours=60 minutes per hour1280 minutes≈21.33 hours
Step 4
Calculate available working time in 3 days
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Carol works 8 hours each day for 3 days:
Total available time=3 days×8 hours per day=24 hours
Step 5
Decision
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Answer
Since 21.33 hours is less than 24 hours, yes, Carol can complete the order in the given time.