Anna hs 62 nickels and dimes. if the total value of her coins equals $4.45,how many nickels and dimes does she have?

The first thing we must do for this case is to denote variables.
 We have then:
 x = number of nickels
 y = number of dimes
 By writing the system of equations we have:
 x + y = 62
 0.05x + 0.10y = 4.45
 Solving the system we have:
 x = 35
 y = 27
 
 She has:
 nickels = 35
 dimes = 27