SOLUTION: A collection of nickels, dimes, and quarters consist of 16 coins with a total of $1.55. If the number of dimes is equal to the number of nickels, find the number of each type of co

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Question 1012361: A collection of nickels, dimes, and quarters consist of 16 coins with a total of $1.55. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A collection of nickels, dimes, and quarters consist of 16 coins 
N%2BD%2BQ=16

with a total of $1.55. 
%22%240.05%22N%2B%22%240.10%22D%2B%22%240.25%22Q=%22%241.55%22

If the number of dimes is equal to the number of nickels, 
D+=+N

So the system of equations is



Simplify the second equation by first taking away the dollar marks:

system%28N%2BD%2BQ=16%2C%220.05%22N%2B%220.10%22D%2B%220.25%22Q=%221.55%22%2CD=N%29

and then multiplying by 100

system%28N%2BD%2BQ=16%2C5N%2B10D%2B25Q=155%2CD=N%29

Substitute N for D in the first two equations:

system%28N%2BN%2BQ=16%2C5N%2B10N%2B25Q=155%29

Simplify

system%282N%2BQ=16%2C15N%2B25Q=155%29

Now you can finish.

Edwin