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.

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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)   (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.

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