Question 872609
No. of ten new penny pieces = T
No. of five new penny pieces = F

There are 25 more ten new penny pieces than five new penny pieces implies : 

T=F+25-----(1)

The value of the collection is $4.75 denotes :

0.05 F + 0.10 T = 4.75---(2)

Plugging in T=F+25 in equation (2) 

0.05F + 0.1(F+25) = 4.75

0.05F + 0.1F + 2.5 = 4.75

0.15 F = 2.25

F=2.25/15

F=15

Plugging in F = 15 in equation (1) 

t + 25 + 15 = 40


Therefore, there are 40 new ten penny pieces and 15 new five penny pieces.