Sean michael has a jar of nickels and dimes he has 1530 coins that total 127.45 how many of each coin does he have

Let d = number of dimes
Let n = number of nickels

d + n = 1530

A dime is worth $0.10. d dimes are worth 0.1d.
A nickel is is worth $0.05. n nickels are worth 0.05n.

0.1d + 0.05n = 127.45

Solve the first equation for d and substitute into the second equation.

d = 1530 - n

0.1(1530 - n) + 0.05n = 127.45

153 - 0.1n + 0.05n = 127.45

-0.05n = -25.55

n = 511

Now substitute this value in the first original equation.

d + n = 1530

d + 511 = 1530

d = 1019

He has 511 nickels and 1019 dimes.