SOLUTION: Aviva has a total of 67 coins, all of whick are either dimes or nickels. The total value of the coins is $5.35. Fine the number of each type of coin.

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Aviva has a total of 67 coins, all of whick are either dimes or nickels. The total value of the coins is $5.35. Fine the number of each type of coin.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 677250: Aviva has a total of 67 coins, all of whick are either dimes or nickels. The total value of the coins is $5.35. Fine the number of each type of coin.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Aviva has a total of 67 coins, all of whick are either dimes or nickels. The total value of the coins is $5.35. Fine the number of each type of coin.
------
Quantity Eq::: n + d = 67 coins
Value EQ::::: 5n + 10d = 535 cents
--------
Divide thru the Value Equation by 5:
n + d = 67
n + 2d = 107
----
Subtract and solve for "d"
d = 40 (# of dimes)
------
Solve for "n":
n + d = 67
n = 27 (# of nickels)
==========================
Cheers,
Stan H.
===============