SOLUTION: Karla has $4.60 in nickels and quarters. She has a total of 36 coins. How many nickels does she have?

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Question 668448: Karla has $4.60 in nickels and quarters. She has a total of 36 coins. How many nickels does she have?
Found 2 solutions by ewatrrr, DrBeeee:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

total of 36 coins.

Karla has $4.60 in highlight%2836-x%29nickels and highlight%28x%29quarters.

 Translate into an equation: CENTS makes sense

 25x + 5(36-x) = 460¢

     20x = 280

       x = 14, number of quarters.  There are 22 nickels

and...

 25%2A14+%2B+5%2A22+=+460

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickles
Let q = number of quarters
To avoid decimals, work in cents not dollars.
The problem statement provides us we two equations:
(1) n + q = 36 and
(2) 5*n + 25*q = 460
To solve put n of (1) into (2) or
(3) 5*(36 - q) + 25*q = 460 or
(4) 180 - 5*q + 25*q = 460 or
(5) 20*q = 280 or
(6) q = 14 and from (1) we get
(7) n = 22
Are these correct? Check using (2).
Is (5*22 + 25*14 = 460)?
Is (110 + 350 = 460)?
Is (460 = 460)? Yes
Answer: Karla has 22 nickles and 14 quarters.