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Answer :
The value of the 549 coins in pounds (£) is 305.4 .
What is fraction multiply?
Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. The procedure to multiply the fractions are: Multiply the numerator with numerator. Multiply the denominator with the denominator. Simplify the fractions, if required.
Given:
Total coins : 549 coins
one third(1/3) of the coins are £1 coins
164 of the coins are 50p coins
rest of the coins are 20p coins
one third of 549 = 549/3 = 183
Thus ,
£1 coins = 183
50p coins = 164
20p coins = 549 - (183 + 164) = 202
value of the 549 coins in pounds (£) is given by
[tex]= 549 * \frac{1}{3} * 1 + 164* 0.5 + (549 *\frac{2}{3} - 164)*0.2\\\\= 183 + 82 +40.4\\\\= 305.4[/tex]
Hence , the value of the 549 coins in pounds (£) is 305.4 .
Learn more about Fractional multiplication at:
https://brainly.com/question/7335118
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Final answer:
The total value of 549 coins in the bottle, including £1 coins, 50p coins, and 20p coins, is £305.40.
Explanation:
To calculate the total value of 549 coins in a bottle, where one third are £1 coins, 164 are 50p coins, and the rest are 20p coins, we will start by determining the quantity of each type of coin and then calculating their total value.
- Step 1: Calculate the number of £1 coins. Since one third of the coins are £1 coins, we divide 549 by 3: 549 ÷ 3 = 183 £1 coins.
- Step 2: We know that 164 of the coins are 50p coins.
- Step 3: To find the number of 20p coins, subtract the number of £1 and 50p coins from the total: 549 - (183 + 164) = 549 - 347 = 202 20p coins.
- Step 4: Calculate the total value of each type of coin and add them together:
- Step 5: Add the values of all coins to get the total value: £183 + £82 + £40.40 = £305.40.
Thus, the total value of the coins in the bottle is £305.40.
