SOLUTION: there are 8 times as many dimes as nickels, and the value of the dimes is $9.00 more than the value of the nickels. how many nickels and dimes are there? I tried setting it up

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: there are 8 times as many dimes as nickels, and the value of the dimes is $9.00 more than the value of the nickels. how many nickels and dimes are there? I tried setting it up       Log On


   



Question 632838: there are 8 times as many dimes as nickels, and the value of the dimes is $9.00 more than the value of the nickels. how many nickels and dimes are there?
I tried setting it up with x=dimes & y=nickels
x=$9.00 + y
x=8y
I am confused

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
there are 8 times as many dimes as nickels, and the value of the dimes is $9.00 more than the value of the nickels. how many nickels and dimes are there?
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quantity: d = 8n
value: 10d = 5n + 900
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Substitute for "d" and solve for "n":
10(8n) = 5n + 900
75n = 900
n = 12 (# of nickels)
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Solve for "d":
d = 8n
d = 8*12 = 96 (# of dimes)
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Cheers,
Stan H.
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