SOLUTION: You have 52 coins consisting of nickels and half-dollars. The number of half-dollars is 2 less than twice the number of nickels. How many half-dollars do you have? How many nick

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: You have 52 coins consisting of nickels and half-dollars. The number of half-dollars is 2 less than twice the number of nickels. How many half-dollars do you have? How many nick      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 330088: You have 52 coins consisting of nickels and half-dollars. The number of half-dollars is 2 less than twice the number of nickels.
How many half-dollars do you have?
How many nickels do you have?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let H be the number of half dollars, N the number of nickels.
1.H%2BN=52
2.H=2N-2
Substitute eq. 2 into eq. 1,
2N-2%2BN=52
3N=54
N=18
Then from eq. 2,
H=36-2
H=34
.
.
.
34 half dollars and 18 nickels.