SOLUTION: You only have nickels and dimes. There are 34 coins and its worth $2.80. How many of each do you have?

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Question 1168637: You only have nickels and dimes. There are 34 coins and its worth
$2.80. How many of each do you have?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
n nickels
d dimes

Linear system of equations simplifies to
system%28n%2B2d=56%2Cn%2Bd=34%29
Solve that.

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
You only have nickels and dimes. There are 34 coins and its worth
$2.80. How many of each do you have?
~~~~~~~~~~~~~ 


N     nickels

34-N  dimes


The total money equation is

    5N + 10*(34-N) = 280  cents.


From the equation

    N = %28280-10%2A34%29%2F%285-10%29 = 12.


ANSWER.  12 nickels and 34-12 = 22 dimes.


CHECK.   12*5 + 22*10 = 280 cents.   ! Precisely correct !

Solved.