SOLUTION: A box contains 35 coins in nickles and dimes. How many of each coin is there if the total of the two types of coins is $2.50? Please help me figure out the Let Statement.
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Question 669223: A box contains 35 coins in nickles and dimes. How many of each coin is there if the total of the two types of coins is $2.50? Please help me figure out the Let Statement. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A box contains 35 coins in nickles and dimes. How many of each coin is there if the total of the two types of coins is $2.50? Please help me figure out the Let Statement.
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Let the number of nickels be "n" and the number of dimes be "d".
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Equations:
Quantity Eq.: n + d = 35
Value Eq.: 5n +10d= 250 cents
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Modify:
n + d = 35
n + 2d = 50
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Subtract and solve for "d":
d = 15 (# of dimes)
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solve for "n":
n + d = 35
n + 15 = 35
n = 20 (# of nickels)
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Cheers,
Stan H.
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