SOLUTION: A piggy bank contains $17.35 in nickels, dimes and quarters. The bank contains 3 more quarters than nickels and twice as many dimes as quarters. How many quarters are in the bank

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Question 1016325: A piggy bank contains $17.35 in nickels, dimes and quarters.
The bank contains 3 more quarters than nickels and twice as
many dimes as quarters. How many quarters are in the bank?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
A piggy bank contains $17.35 in nickels, dimes and quarters.
$0.05N + $0.10D + $0.25Q = $17.35

Erase $'s and multiply by 100

5N + 10D + 25Q = 1735

Divide through by 5

N + 2D + 5Q = 347

The bank contains 3 more quarters than nickels 
Q = N + 3

and twice as many dimes as quarters. 
D = 2Q

system%28N+%2B+2D+%2B+5Q+=+347%2CQ=N%2B3%2CD=2Q%29

system%28N+%2B+2D+%2B+5Q+=+347%2C-N%2BQ=3%2CD-2Q=0%29



Add the first two equations to eliminate N's

 

Divide the first equation through by -2



Add the equations:





Edwin