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There are 549 coins in a bottle. One-third of the coins are £1 coins. 164 of the coins are 50p coins. The rest are 20p coins.

Work out the total value of the 549 coins in pounds.

Answer :

Final answer:

The total value of the 549 coins is £305.40. This is calculated by first finding the number of each type of coin, converting the count into pounds, and then adding all of these values together.

Explanation:

The total number of coins is 549. It's given that 1/3 of the coins are £1 coins; this amounts to 549/3 = 183 £1 coins. So, that's £183 in total. We also know that 164 of the coins are 50p coins, which amounts to £164/2 = £82. Therefore, the remaining coins must be 20p coins.

To find the number of 20p coins, we subtract the number of £1 coins and 50p coins from the total: 549 - 183 - 164 = 202 20p coins. That's a value of £202/5 = £40.40. We add this to the value of the other coins, so the total value of all 549 coins is £183 + £82 + £40.40 = £305.40.

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Answer:

£ 305.4

Step-by-step explanation:

[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]