SOLUTION: 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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Question 49432: 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
Answer by Osran_Shri(18) About Me  (Show Source):
You can put this solution on YOUR website!
Dimes = A
Quarters = B
There are four times Dimes as that of quarters in a bank of 25 coins which can be put into:
Dimes = A = 4B
We know that
A+B=25 Substitute value of A=4B to get
4B + B = 25
5B = 25
B = 25/5 = 5
Therefore Dimes = A = 4B = 4*5 = 20 and Quarters = B = 5
Answer: number of Dimes in a coin bank = A = 20