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Ellis has 28 m of ribbon - OCR - GCSE Maths - Question 13 - 2021 - Paper 3

Question 13

Ellis has 28 m of ribbon. They cut the ribbon into lengths of 60 cm. What is the least length of ribbon, in cm, that can be left over? You must show your working.

Worked Solution & Example Answer:Ellis has 28 m of ribbon - OCR - GCSE Maths - Question 13 - 2021 - Paper 3

Step 1

Calculate Total Length of Ribbon in cm

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Answer

To begin, convert the total length of ribbon from meters to centimeters:

$28 ext{ m} = 28 imes 100 ext{ cm} = 2800 ext{ cm}$

Step 2

Divide the Total Length by Length of Each Piece

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Next, divide the total length of ribbon by the length of each piece:

$rac{2800 ext{ cm}}{60 ext{ cm}} = 46.67$

This means we can cut 46 full pieces of 60 cm.

Step 3

Calculate Total Length Used

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Answer

Now, calculate the total length of ribbon used by multiplying the number of full pieces by the length of each piece:

$46 imes 60 ext{ cm} = 2760 ext{ cm}$

Step 4

Calculate Remaining Ribbon Length

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Answer

Finally, subtract the total length used from the original length to find the leftover ribbon:

$2800 ext{ cm} - 2760 ext{ cm} = 40 ext{ cm}$

Step 5

Conclusion

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Thus, the least length of ribbon that can be left over is 40 cm.

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