Question 24108
I think you need to say 
Let n = number of nickels
d = number of dimes.


He has nine times as many dimes as nickes, so the number of dimes is 9 times the number of nickels.  This means that d = 9n 

Value of the dimes = 10d 
Value of the nickels = 5n


Value of the dimes equals 510 cents more than the value of the nickels
10d =  5n + 510


This is a good place to substitute, since d=9n

 10d =  5n + 510
10*9n =  5n+ 510
90n= 5n + 510
85n= 510
n = 6 Nickels
9n = 54 Dimes


Check.  Value of 6 nickels = $.30
Value of 54 dimes = $5.40


Dimes are worth $5.10 more than the nickels so it checks!


R^2 at SCC