Final answer:
To calculate the total value of the coins, we find the value of each type of coin based on their quantities and then sum them up. There are 183 £1 coins, 164 50p coins, and 202 20p coins, resulting in a total value of £305.40.
Step-by-step explanation:
To calculate the total value of the 549 coins in pounds, we need to determine the number of each type of coin and then sum up their individual values. We are told that 1/3 of the coins are £1 coins, there are 164 of the 50p coins, and the rest are 20p coins.
Step-by-step calculation:
- Determine the number of £1 coins: 549 coins * (1/3) = 183 £1 coins.
- Calculate the value of the £1 coins: 183 * £1 = £183.
- Calculate the value of the 50p coins: 164 * 0.50 = £82.
- Calculate the number of 20p coins: 549 (total coins) - 183 (£1 coins) - 164 (50p coins) = 202 20p coins.
- Calculate the value of the 20p coins: 202 * 0.20 = £40.40.
- Add up the values of all the coins: £183 (from £1 coins) + £82 (from 50p coins) + £40.40 (from 20p coins) = £305.40 total value.
Therefore, the total value of the 549 coins is £305.40.