Question 338395: a coin bank contains 25 coins in nickels,dimes,and quarters. There are four times as many dimes as quarters.The value of the coins is $2.05. How many dimes are in the bank?
please and thank you... i cant figure it out my book says its supose to be 8 dimes but im not getting how it got that answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a coin bank contains 25 coins in nickels,dimes,and quarters. There are four times as many dimes as quarters.The value of the coins is $2.05. How many dimes are in the bank?
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Equations:
Quantity Eq:::: n + d + q = 25
Quantity Eq:::: d = 4q
Value Eq:::::::5n +10d+25q = 205
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Rearrange:
n + d + q = 25
0 + d -4q = 0
5n+10d+25q= 205
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Use any method you know to solve the system to get:
# of nickels = 15
# of dimes = 8
# of quarters= 2
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Cheers,
Stan H.
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