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Answer :
The total value of the coins, calculate the value of each denomination separately and sum them. There are 183
£1 coins, 164 50p coins, and the rest are 20p coins totaling 202, leading to a combined value of
£305.40.
The total value of the 549 coins in pounds, we need to figure out the number of coins of each denomination and their individual total values.
Firstly, we find 1/3 of the 549 coins, which are
£1 coins. So,
549 / 3 = 183
£1 coins183
£1 coins have a total value of:
183 * £1 = £183
Since there are 164 50p coins:
164 * 0.50 = £82
The rest of the coins are 20p coins. To find out how many 20p coins there are, we subtract the number of
549 - 183 - 164 = 202
202 20p coins have a total value of:
202 * 0.20 = £40.40
Finally, we add the values of all the coins together:
£183 + £82 + £40.40 = £305.40
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Final answer:
The total value of the 549 coins, consisting of £1 coins, 50p coins, and 20p coins, is £305.4.
Explanation:
To work out the total value of the coins, we first need to calculate how many of each type of coin there are. We know that there are 549 coins in total. 1/3 of these coins, or about 183 coins, are £1 coins. Additionally, we know that 164 of the coins are 50p coins. So to find out how many coins are 20p coins, we subtract the number of £1 coins and 50p coins from the total. That calculation is 549 - 183 - 164 = 202 20p coins.
To find the total value in pounds, we multiply the number of each type of coin by its value in pounds. The £1 coins are worth 1*183 = £183. The 50p coins are worth 0.50*164 = £82. The 20p coins are worth 0.20*202 = £40.4.
We add these amounts together to find the total value. So, the total value of the coins is £183 + £82 + £40.4 = £305.4.
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