Answer :

9 Nickels, 8 Dimes...here is how i work it out!

d + n = 17 
0.1d + 0.05n = 1.25 

d = 17 - n 
0.1 (17 - n) + 0.05n = 1.25 
1.7 - 0.1n + 0.05n = 1.25 
1.7 - 0.05n = 1.25 
-0.05n = -0.45 
n = 9 

9 Nickels, 8 Dimes

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