SOLUTION: Kelly has a collection of nickels, dimes and quarters with a total value of $10.40 There are 5 more dimes than nickels and 3 times more quarters than nickels, how many of each co

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Question 1097342: Kelly has a collection of nickels, dimes and quarters with a total value of
$10.40 There are 5 more dimes than nickels and 3 times more quarters than nickels, how many of each coin does she have?
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Let  N be the number of nickels.

Then the number of dimes is (N+5), and the number of quarters is 4N


    (in English, "There are 3 times more quarters than nickels" means that 
                 there are 4 times as many quarters as nickels  (!!!) ).


So, your equation is

5N + 10(N+5) + 25*(4N) = 1040   cents.


5N + 10N + 50 + 100N = 1040  ====>

115N = 1040-50 = 990  ====>  N =   is not an integer.


Which means that your condition/problem/formulation is  DEFECTIVE.



     The cause is that you don't know that in English

     "There are 3 times more quarters than nickels" means that "there are 4 times as many quarters as nickels".


Next time be more attentive and more accurate.

Do not forget to send your "Thanks" to me.



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