Question 1027411
Call the numbers of nickels and dimes, n and d.  Then we have
n + d = 59 and the value equation is
5n + 10d = 465  (we will work in cents)
Now multiply the top equation by five and subtract...we get
5n + 10d = 465
-(5n + 5d = 295)
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5d = 170
d = 34 dimes and thus
n = 25 nickels