SOLUTION: You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary t

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Question 404036: You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system
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Equations:
Quantity:: n + d = 28
Value:::: 5n +10d = 205 cents
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Multiply thru the 1st equation by 5 to get:
5n + 5d = 5*28
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Subtract that from the Value Equation and solve for "d":
5d = 205-5*28
5d = 35
d = 7 (# of dimes)
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Solve for "n":
n + d = 28
n + 7 = 28
n = 21 (# of nickels)
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Cheers,
Stan H.
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