SOLUTION: Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $54.05. How many nickels and how many dimes did sh
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Question 1126809: Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $54.05. How many nickels and how many dimes did she deposit? Answer by ikleyn(52788) (Show Source):
Take aside 5 extra dimes for a minute from the collection (do it MENTALLY).
Then the collection will worth $54.05 - 5*$0.1 = $53.55.
But now there are equal number of nickels and dimes in the collection,
so you can group coins in the sets, containing one nickel and one dime each.
Thus each set of the two coins is worth 5 + 10 cents; hence the number of these sets is = 357.
Now return back those 5 extra dimes to get the
Answer. There were 357 nickels and 357+5 = 362 dimes in the original collection.
Check. 5*357 + 10*362 = 5405 cents = $54.05. ! Corrct !
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Read them and become an expert in solution of coin problems.
