SOLUTION: A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and
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Question 608538: A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer.
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Quantity Eq.: d + n = 55 coins
Value Equat.:10d+5n = 375 cents
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Multiply thru the 1st Eq. by 5:
5d + 5n = 5*55
10d+ 5n = 375
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Subtract and solve for "d":
5d = 100
d = 20 (# of dimes)
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Solve for "n":
d + n = 55
20 + n = 55
n = 35
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Cheers,
Stan H.
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