Question 251148: a piggy bank has 50 coins. the coins are only nickles and dimes. The bank has $4.55 in total. How many coins are nickles, how many dimes?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a piggy bank has 50 coins. the coins are only nickles and dimes. The bank has $4.55 in total. How many coins are nickles, how many dimes?
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Equations:
Quantity Equation: n + d = 50
Value Equation::: 5n+ 10d = 455
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Multiply thru the Quantity Eq by 5 to get:
5n + 5d = 250
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Subtract that from the Value equation and solve for "d":
5d = 205
d = 41 (# of dimes)
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Substitute into n+d = 50 and solve for "n":
n+41 = 50
n = 9 (# of nickels)
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Cheers,
Stan H.
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