SOLUTION: A coin collection of nickels, dimes and quarters has a value of $10. There are twice as many dimes as quarters. There are 140 coins in all. How many nickels are in the collectio

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Question 408941: A coin collection of nickels, dimes and quarters has a value of $10. There are twice as many dimes as quarters. There are 140 coins in all. How many nickels are in the collection?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

twice as many dimes as quarters.  There are 140 coins in all

Let x, 2x and (140-3x) represent the number of quarters, dimes and nickels respectively

Question states***CENTS makes sense

 25x + 10*2x + 5(140-3x) = 1000 CENTS

Solving for x

     30x = 300

       x = 10, number of quarters.   20 dimes and 110 nickels



CHECKING our Answer***

 25*10 + 10*20 + 5*110 = 250 + 200 + 550 = 1000 OR $10.00