SOLUTION: A collection of 30 coins worth $5.50 consists of nickles, dimes, and quarters. There are twice as many dimes as nickles. How many quarters are there?

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Question 12023: A collection of 30 coins worth $5.50 consists of nickles, dimes, and quarters. There are twice as many dimes as nickles. How many quarters are there?
Answer by stanbon!(97) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of nickels be "x".
Then number of dimes is "2x".
And number of quarters is "30-3x"
Value of nickels is (5)x cents
Value dimes is (10)2x = 20x cents
Value of quarters is (25)(30-3x)= 750-75x cents
EQUATION:
Value of nickels + Value of dimes + Value of quarters = 550 cents
5x + 20x + 750-75x = 550
-50 x = -200
x = 4 (number of nickels)
2x = 8 (number of dimes)
30-3x = 30-12 = 18 (number of quarters)
Cheers,
Stan H.