SOLUTION: Can you please help me solve: "A collection of dimes and nickels is worth $6.70. There are 92 coins in all. Find how many of each there are."

Question 694448: Can you please help me solve: "A collection of dimes and nickels is worth $6.70. There are 92 coins in all. Find how many of each there are."
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you please help me solve: "A collection of dimes and nickels is worth $6.70. There are 92 coins in all. Find how many of each there are."
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Quantity Equation::: n + d = 92 coins
Value Equation:::: 5n +10d = 670 cents
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Multiply thru the top equation by "t"
5n + 5d = 5*92
5n +10d = 670
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Subtract the top from the bottom and solve for "d":
5d = 230
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d = 46 (# of dimes)
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Solve for "n":
n + d = 92
n + 46 = 92
n = 46 (# of nickels)
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Cheers,
Stan H.
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