Hi,

total of 36 coins.

Karla has $4.60 in nickels and quarters.

 Translate into an equation: CENTS makes sense

 25x + 5(36-x) = 460¢

     20x = 280

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

and...

  

Answer by DrBeeee(684)   (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. 

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