SOLUTION: A collection of 70 coins consisting of dimes, quarters, and half dollars has a value of $17.75. There are three times as many quarter as dimes. Find the number of ach kind of coin.

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A collection of 70 coins consisting of dimes, quarters, and half dollars has a value of $17.75. There are three times as many quarter as dimes. Find the number of ach kind of coin.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 7767: A collection of 70 coins consisting of dimes, quarters, and half dollars has a value of $17.75. There are three times as many quarter as dimes. Find the number of ach kind of coin.
___________
.10d+.25q+.50h=$17.75
d+q+h=70
q=3d
h=70-4d
_______
d+3d+h=70
4d+h=70
h=70-4d
_______
.10d+.25(3d)+.50(70-4d)=$17.75
100(.10d+.25(3d)+.50(70-4d))=100($17.75)
10d+75d+3500-20d=1775
65d+3500=1775
65d/65= -1725/65
d doesn't = 26 7/13


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The 3500 in your work should be 35 because you are multiplying
0.50 (70)
Make that change in your work.
Cheers,
stan H.