SOLUTION: Biff has a collection of pennies, nickles, dimes, and quarters worth $2.73 altogether. He has twice as many nickles as dimes, one more nickle than quarters, and two more than twice

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Biff has a collection of pennies, nickles, dimes, and quarters worth $2.73 altogether. He has twice as many nickles as dimes, one more nickle than quarters, and two more than twice      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 944669: Biff has a collection of pennies, nickles, dimes, and quarters worth $2.73 altogether. He has twice as many nickles as dimes, one more nickle than quarters, and two more than twice as many pennies as nickles. How many of each coin does Biff have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%2B5N%2B10D%2B25Q=273
.
.
N=2D
D=N%2F2
.
.
N=Q%2B1
Q=N-1
.
.
P=2%2B2N
Substituting,
P%2B5N%2B10D%2B25Q=273
2%2B2N%2B5N%2B10%28N%2F2%29%2B25%28N-1%29=273
2N%2B5N%2B5N%2B25N%2B2-25=273
37N=296
N=8
So then,
P=2%2B2%288%29=2%2B16=18
D=8%2F2=4
Q=8-1=7
18 pennies, 8 nickels, 4 dimes and 7 quarters