SOLUTION: A collection of quarters and nickels is worth $13.70. There are 106 coins in all. How many of each coin are there? quarters nickels

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A collection of quarters and nickels is worth $13.70. There are 106 coins in all. How many of each coin are there? quarters nickels       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 918223: A collection of quarters and nickels is worth $13.70. There are 106 coins in all.

How many of each coin are there?

quarters
nickels
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Q%2BN=106
0.25Q%2B0.05N=13.70
Multiply eq. 1 by 0.25 and then subtract eq. 2 from it,
0.25Q%2B0.25N-0.25Q-0.05N=26.5-13.7
0.2N=12.8
N=64
Then,
Q%2B64=106
Q=42
42 quarters and 64 nickels