SOLUTION: A bag of coins (nickels and dimes only) is worth $3.20. There are three less than twice as many dimes ​as nickels. How many of the coins are dimes?

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Question 1169013: A bag of coins (nickels and dimes only) is worth $3.20. There are three less than twice as many dimes ​as nickels. How many of the coins are dimes?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
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A bag of coins (nickels and dimes only) is worth $3.20. There are three less than twice as many dimes ​
as nickels. How many of the coins are dimes?
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For a moment, add mentally three dimes to the collection.


Then you will have $3.50 in total.


And you can group then the coins in sets, containing 2 dimes and 1 nickel in each group.


Each such a group is worth  2*10+5 = 25 cents;  so the number of groups is   = 14.


    From this point, there is only one step to the 


ANSWER.  14 nickels and 2*14 - 3 = 25 dimes.


CHECK.  14*5 + 10*25 = 320 cents = $3.20.   ! Correct !

Solved.



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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There are three less than twice as many dimes ​as nickels.
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n for nickels,
Dimes,



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