SOLUTION: In a collection of 16 coins the number of quarters is one-half the number of dimes and the number of nickels is 5 less than twice the number of dimes. How many of each type of coin

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: In a collection of 16 coins the number of quarters is one-half the number of dimes and the number of nickels is 5 less than twice the number of dimes. How many of each type of coin      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 121187This question is from textbook Fundamentals of Mathematics
: In a collection of 16 coins the number of quarters is one-half the number of dimes and the number of nickels is 5 less than twice the number of dimes. How many of each type of coin (quarters, dimes, and nickels) ar ein the collection? This question is from textbook Fundamentals of Mathematics

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Q+D+N=16
Q=D/2
N=2D-5
D/2+D+2D-5=16
.5D+3D=16+5
3.5D=21
D=6 NUMBER OF DIMES
Q=6/2=3 NUMBER OF QUARTERS
N=2*6-5=12-5=7 NUMBER OF NICKELSPROOF
6+3+7=16
16=16