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 quarters as dimes. Find the number of each kind of coi

Algebra ->  College  -> Linear Algebra -> 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 quarters as dimes. Find the number of each kind of coi      Log On


   



Question 440931: A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=70;x=3y;4y+z=70
.25(3y)+.10y+.5z=17.75
.85y+.5z=17.75
85y+50z=1775
200y+50z=3500
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115y=1725
y=15
x=45
z=10
There are 45 quarters, 15 dimes, and 10 half-dollars in the coin collection..