SOLUTION: Nicole has 20 coins in nickels, dimes, and quarters. She has 6 more quarters than nickels and $3.30 in all. How many nickels does she have? How many dimes? How many quarters?

Algebra ->  Expressions-with-variables -> SOLUTION: Nicole has 20 coins in nickels, dimes, and quarters. She has 6 more quarters than nickels and $3.30 in all. How many nickels does she have? How many dimes? How many quarters?      Log On


   

Question 233993: Nicole has 20 coins in nickels, dimes, and quarters. She has 6 more quarters than nickels and $3.30 in all. How many nickels does she have? How many dimes? How many quarters?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"20 coins in nickels, dimes, and quarters" ___ n + d + q = 20 ___ d = 20 - n - q

"6 more quarters than nickels" ___ q = n + 6

"$3.30 in all" ___ 5n + 10d + 25q = 330

substituting ___ d = 20 - n - n - 6 = 14 - 2n

substituting ___ 5n + 10(14 - 2n) + 25(n + 6) = 330
___ 5n + 140 - 20n + 25n + 150 = 330
___ 10n = 40 ___ n = 4

substituting ___ q = 4 + 6 = 10

substituting ___ d = 20 - 4 - 10 = 6