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There are 150 coins in a jar - OCR - GCSE Maths - Question 3 - 2021 - Paper 3

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There are 150 coins in a jar. 20% of the coins are 10p coins. 3/10 of the coins are 20p coins. The rest of the coins are 50p coins. Work out the total value, in £... show full transcript

Worked Solution & Example Answer:There are 150 coins in a jar - OCR - GCSE Maths - Question 3 - 2021 - Paper 3

Step 1

Calculate the number of 10p coins

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Answer

To find the number of 10p coins, calculate 20% of 150:

[ \text{Number of 10p coins} = 0.20 \times 150 = 30 ]

Step 2

Calculate the number of 20p coins

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Answer

To find the number of 20p coins, calculate (\frac{3}{10}) of 150:

[ \text{Number of 20p coins} = \frac{3}{10} \times 150 = 45 ]

Step 3

Calculate the number of 50p coins

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Answer

The total number of coins is 150:

[ \text{Number of 50p coins} = 150 - (30 + 45) = 75 ]

Step 4

Calculate the total value in £

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Answer

Now, calculate the total value of all coins:

  • Value of 10p coins: [ \text{Value} = 30 \times 0.10 = £3.00 ]

  • Value of 20p coins: [ \text{Value} = 45 \times 0.20 = £9.00 ]

  • Value of 50p coins: [ \text{Value} = 75 \times 0.50 = £37.50 ]

Finally, sum these values: [ \text{Total value} = 3.00 + 9.00 + 37.50 = £49.50 ]

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