Question 1178433
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Let x = number of 50&#162; pieces
then x-5 = number of 25&#162; pieces

Expressing $32.50 in cents, we get:
50x + 25(x-5) = 3250   

Solve for x:
x = 45    = number of 50&#162; pieces
x-5 = 40  = number of 25&#162; pieces