SOLUTION: A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 246743: A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are in the box?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the same number of nickels as dimes, but twice as many quarters as nickels, how many dimes are in the box?
----------------------------------------
Equations:
5n + 10d + 25q = 2600 cents
n = d
q = 2n
----------------
Substitute and solve for "n":
5n + 10n + 25(2n) = 2600
65n = 2600
n = 40 (# of nickels)
d = n = 40 (# of dimes)
=============================
Cheers,
Stan H.