Kay's change purse has nickels and dimes in it. The number of nickels is 5 more than twice the number of dimes. The total is $4.05, how many nickels are in the purse?

1 dime = 10 cents

1 nickel = 5 cents

N - number of dimes

Number of nickels = 2N + 5

5(2N+5) + 10N = 20N + 25 = 405

N = 19

Number of nickels = 43