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I have a total of 300 $ in coins of denomination 1 $ , 2 $ ,5$. The number of $2 coins is 3 times the number of $5 coins. The total number of coins is 160. How many coins of eac…
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I have a total of 300 $ in coins of denomination 1 $ , 2 $ ,5$. The number of $2 coins is 3 times the number of $5 coins. The total number of coins is 160. How many coins of eac…
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Apr 23, 2019
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I have a total of 300 $ in coins of denomination 1 $ , 2 $ ,5$. The number of $2 coins is 3 times the number of $5 coins. The total number of coins is 160. How many coins of each denominations are with me?
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The ratio of $2 to $5 is 3: 1
3x$2 + 1x$5 = $11
A set of 3 $2 and 1 $5 gives you $11
.
Assumed all 160 coins are $1
Total value = $100
Difference in the value = $300 - $100 = $200
Difference in the $1 and the set of $2 and $5 = $11 - $1 = $10
Number of set of $2 and $5 = $200 ÷ $10 = 20
Calculate the number of $2 and $5 in the 20 sets:
Number of $2 = 3 x 20 = 60
Number of $5 = 1 x 20 = 20
Number of $1 = 160 - 60 - 20 = 80
Answer: There are 80 $1, 60 $2 and 20 $5.
Keith Costa
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Apr 27, 2019
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