SOLUTION: A coin bank contians 30 coins, all dimes nickels and quarters, worth $5.70. Use a system of linear equations or just one to represent this situation. Find out how many dimes and qu

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Question 901025: A coin bank contians 30 coins, all dimes nickels and quarters, worth $5.70. Use a system of linear equations or just one to represent this situation. Find out how many dimes and quarters are in the bank.
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A coin bank contians 30 coins, all dimes nickels and quarters, worth $5.70. Use a system of linear equations or just one to represent this situation. Find out how many dimes and quarters are in the bank.
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Equations:
Value Eq:: 5n + 10d + 25q = 570 cents
Quantity Eq:: n + d + q = 30 coins
Note:: You need one more equation statement since you have 3 variables.
Cheers,
Stan H.
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Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
5n + 10d + 25q = 570
n + d + q = 30
Surprisingly, there are only two possibilities.
3n 8d 19q
15+80+475=570
6n 4d 20q
30+40+500=570