SOLUTION: please help me solve this system: anne marie has 52 coins in dimes and quarters, which are worth $6.25. how many of each coin does she have?

Question 308820: please help me solve this system: anne marie has 52 coins in dimes and quarters, which are worth $6.25. how many of each coin does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
anne marie has 52 coins in dimes and quarters, which are worth $6.25. how many of each coin does she have?
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Equations:
Quantity: D + Q = 52 coins
Value:::10D+25Q = 625 cents
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Multiply thru Quantity by 10 to get:
10D + 10Q = 520
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Subtract that from Value and solve for Q:
15Q = 105
Q = 7 (# of quarters)
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Since D+Q = 52, D = 45 (# of dimes)
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Cheers,
Stan H.
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