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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:

  1. Calculate 20% of 150:

    0.20imes150=300.20 imes 150 = 30

Thus, there are 30 coins that are 10p coins.

Step 2

Calculate the number of 20p coins

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Answer

Next, for the 20p coins:

  1. Calculate ( \frac{3}{10} ) of 150:

    310×150=45\frac{3}{10} \times 150 = 45

So, there are 45 coins that are 20p coins.

Step 3

Calculate the number of 50p coins

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Answer

Now, we find the number of 50p coins:

  1. Total coins = 150

  2. Coins accounted for: 10p + 20p

    30+45=7530 + 45 = 75
  3. Remaining coins:

    15075=75150 - 75 = 75

So, there are 75 coins that are 50p coins.

Step 4

Calculate the total value in £

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Answer

Now, we calculate the total value:

  1. Value from 10p coins:

    30×0.10=3.00£30 \times 0.10 = 3.00 \, £
  2. Value from 20p coins:

    45×0.20=9.00£45 \times 0.20 = 9.00 \, £
  3. Value from 50p coins:

    75×0.50=37.50£75 \times 0.50 = 37.50 \, £
  4. Total value:

    3.00+9.00+37.50=49.50£3.00 + 9.00 + 37.50 = 49.50 \, £

The total value of the coins is £49.50.

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