Let N be the number of nickels.
Then the number of quarters is (2N-4).

The "value" equation is 

5N + 25*(2N-4) = 450   (cents).

5N + 50N - 100 = 450  ====>  55N = 550  ====>  N = 10.

Let number of nickels be N

Then number of quarters = 2N - 4

We then get: .05N + .25(2N - 4) = 4.5

.05N + .5N - 1 = 4.5

.55N = 4.5 + 1

.55N = 5.5

N, or number of nickels =  

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