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Carol makes birthday cards - OCR - GCSE Maths - Question 1 - 2019 - Paper 4

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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=48 minutes3=16 minutes per card\text{Time per card} = \frac{48 \text{ minutes}}{3} = 16 \text{ 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\text{Total time for 80 cards} = 80 \text{ cards} \times 16 \text{ minutes per card} = 1280 \text{ 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=1280 minutes60 minutes per hour21.33 hours\text{Total hours} = \frac{1280 \text{ minutes}}{60 \text{ minutes per hour}} \approx 21.33 \text{ 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\text{Total available time} = 3 \text{ days} \times 8 \text{ hours per day} = 24 \text{ 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.

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