GCSE OCR Maths Ratio: Sally has 30 feet of ribbon. Sh

Sally has 30 feet of ribbon - OCR - GCSE Maths - Question 6 - 2018 - Paper 5

Question 6

Sally has 30 feet of ribbon. She cuts strips each of length $rac{2}{5}$ feet from the ribbon. Sally says. I can cut 13 of these strips from this ribbon. Is she ... show full transcript

Worked Solution & Example Answer:Sally has 30 feet of ribbon - OCR - GCSE Maths - Question 6 - 2018 - Paper 5

Step 1

Calculate the total length used for 13 strips

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Answer

To determine if Sally can cut 13 strips from 30 feet of ribbon, we first calculate the total length used for 13 strips. Each strip is $rac{2}{5}$ feet long. Thus, for 13 strips, the total length used is:

$ext{Total length} = 13 imes rac{2}{5} = rac{26}{5} ext{ feet} = 5.2 ext{ feet}$

Step 2

Evaluate the total length against the available ribbon

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Answer

We now compare the total length used (5.2 feet) against the available ribbon (30 feet).

Since 5.2 feet is much less than 30 feet, Sally is indeed able to cut more than 13 strips.

Step 3

Calculate the maximum number of strips that can be cut

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Answer

To find out how many strips can actually be cut from the 30 feet of ribbon, we can use the formula:

$ext{Number of strips} = rac{30}{ rac{2}{5}}$

Calculating this gives:

$ext{Number of strips} = 30 imes rac{5}{2} = 75 ext{ strips}$

Step 4

Conclusion

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Answer

Since Sally claims she can cut only 13 strips, and we have calculated that up to 75 strips can be cut from the ribbon, we conclude that:

Sally is incorrect.

Sally has 30 feet of ribbon - OCR - GCSE Maths - Question 6 - 2018 - Paper 5

Worked Solution & Example Answer:Sally has 30 feet of ribbon - OCR - GCSE Maths - Question 6 - 2018 - Paper 5

Calculate the total length used for 13 strips

Evaluate the total length against the available ribbon

Calculate the maximum number of strips that can be cut

Conclusion

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