SOLUTION: There are 9 times as many dimes as nickels, and the value of the dimes is $5.95 more than the value of the nickels. How many nickels and dimes are there?

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Question 1143431: There are 9 times as many dimes as nickels, and the value of the dimes is $5.95 more than the value of the nickels. How many nickels and dimes are there?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 times as many dimes as nickels, and the value of the dimes is $5.95 more than the value of the nickels. How many nickels and dimes are there?
---------------
d = 9n
10d = 5n + 595
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etc.

Answer by ikleyn(52846) About Me  (Show Source):
You can put this solution on YOUR website!
.
N nickels and 9N dimes.


The "value" equation is


    10*(9N) - 5N = 595   cents.


    90N - 5N = 595

    85N = 595

    N   = 595%2F85 = 7.


ANSWER.  7 nickels and 9*7 = 63 dimes.


CHECK.   63*10 - 7*5 = 595 cents = $5.95.    ! Correct !