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320 people go on a coach trip - OCR - GCSE Maths - Question 11 - 2017 - Paper 1

Question 11

320 people go on a coach trip. Each coach holds 53 people. Gary says 6 coaches are needed. Is Gary correct? You must show your working.

Worked Solution & Example Answer:320 people go on a coach trip - OCR - GCSE Maths - Question 11 - 2017 - Paper 1

Step 1

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Answer

To determine if Gary is correct, we need to calculate the number of coaches required for 320 people, knowing each coach can hold 53 people.

First, we divide the total number of people by the capacity of one coach:

$ext{Number of coaches} = \frac{320}{53} \approx 6.038$

Since we cannot have a fraction of a coach, we round up to the next whole number. Therefore, we would need 7 coaches.

Step 2

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Answer

Since 7 coaches are needed and Gary says that only 6 coaches are required, Gary is incorrect.

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