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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Karla has $4.60 in nickles and quarters, she has a total of 36 coins. How many nickles and how many quarters does she have?      Log On


   

Question 214438: Karla has $4.60 in nickles and quarters, she has a total of 36 coins. How many nickles and how many quarters does she have?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let N = the number of nickels and Q = the number of quarters.
1). Q+N = 36 "...she has a total of 36 coins."
2). (0.25)Q+(0.05)N = $4.60 "Karla has $4.60 in nickels and quarters,..."
Rewrite equation 1) as: Q = 36-N and substitute into equation 2).
2a). %280.25%29%2836-N%29%2B%280.05%29N+=+%244.60 Simplify.
2b). 9-0.25N%2B0.05N+=+4.60
2c). 9-0.2N+=+4.60 Subtract 9 from both sides.
2d). -0.2N+=+-4.4 Divide both sides by -0.2
2e). N+=+22 and:
Q+=+36-N
Q+=+36-22
Q+=+14
Karla has 14 quarters and 22 nickels.