Question 239166
Let N = Number of Nickel Coins
    P = Number of Pennie Coins

$0.05N+$0.01P = $1.20

We know that N+P=52

Rearranging we get P=52-N

So subsituting in gives $0.05N+$0.01(52-N) = $1.20

$0.05N+$0.52-$0.01N = $1.20
$0.04N+$0.52 = $1.20
$0.04N = $1.20 - $0.52
N = $0.68/$0.04
N = 17
So P = 35

Does that makes sense?