SOLUTION: Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have?

Question 278809: Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Andy has 8 coins made up of quarters and half dollars, and their total value is $2.50. How many quarters does he have?
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2-variable solution:
Quantity: q + h = 8
Value:::25q+50h = 250 cents
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Multiply thru Quantity by 25 to get:
25q + 25h = 25*8
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Subtract that equation from Value and solve for "h":
25h = 250-200
h = 2 (# of half-dollar coins)
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Substitute into Quantity and solve for "q":
q + 2 = 8
q = 6 (# of quarter coins)
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Cheers,
Stan H.
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