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A bag contains some counters - OCR - GCSE Maths - Question 21 - 2019 - Paper 1

Question 21

A bag contains some counters. There are 300 counters in the bag. There are only red, white and blue counters in the bag. The probability of picking a blue counter i... show full transcript

Worked Solution & Example Answer:A bag contains some counters - OCR - GCSE Maths - Question 21 - 2019 - Paper 1

Step 1

Calculate the number of blue counters

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Answer

The probability of picking a blue counter is given as ( \frac{23}{50} ). Since there are 300 counters in total:

[ \text{Number of blue counters} = \frac{23}{50} \times 300 = 138 ]

Step 2

Determine the number of red and white counters

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Answer

Let the number of white counters be ( w ). The ratio of red counters to white counters is given as 2:1, thus:

[ \text{Number of red counters} = 2w ] [ \text{Total counters} = \text{Red} + \text{White} + \text{Blue} = 300 ] Thus: [ 2w + w + 138 = 300 ] [ 3w + 138 = 300 ] [ 3w = 162 ] [ w = 54 ] [ \text{Number of red counters} = 2w = 2 \times 54 = 108 ]

Step 3

Final answer

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Answer

Therefore, the number of red counters in the bag is 108.

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