SOLUTION: There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels?

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Question 480037: There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels?
Found 2 solutions by htmentor, stanbon:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels?
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Let q = the number of quarters
Then 204 - q = the number of nickels
The total amount is $30.60 = 3060 cents
So we can write the following for the total value:
25q + 5(204-q) = 3060
Solve for q:
25q + 1020 - 5q = 3060
20q = 2040
q = 102
So there are 102 quarters and 102 nickels

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels?
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Equations:
Quantity Eq::: n + q = 204 coins
Value Eq::::: 5n +25q =3060 cents
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Multiply thru the Quantity Eq. by 5:
5n + 5q = 5*204
5n +25q = 3060
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Subtract and solve for "q":
20q = 2040
q = 102 (# or quarters)
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Solve for "n":
n + q = 204
n +102 = 204
n = 102 (# of nickels)
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Cheers,
Stan H.