SOLUTION: a collection of 35 coins contains nickels and quarters. find the number of nickels given that the total face value of the coins is $2.55.

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Question 388513: a collection of 35 coins contains nickels and quarters. find the number of nickels given that the total face value of the coins is $2.55.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a collection of 35 coins contains nickels and quarters. find the number of nickels given that the total face value of the coins is $2.55.
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Quantity: n + q = 35 coins
Value:: 5n+ 25q = 255 cents
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Divide thru the Value Eq. by 5:
n + 5q = 51
n + q = 35
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Subtract and solve for "q":
4q = 16
q = 4 (# of quarters)
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Since n + q = 35, n = 31 (# of nickels)
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Cheers,
Stan H.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x and (35-x)represent the quarters and nickels respectively

Question states:

  25x + 5(35-x) = 255 cents

      20x = 255 - 5*35

      20x = 80

        x = 4, the number of quarters, number of nickels = 31   (35-4)



CHECKING our Answer

    25*4 + 5*31 = 100 + 155 = 255 cents = $2.55