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?

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) (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). Simplify.
2b).
2c). Subtract 9 from both sides.
2d). Divide both sides by -0.2
2e). and:

Karla has 14 quarters and 22 nickels.
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