Question 961484
d = number of dimes
n = number of nickels


5n + 10d = 120
n = d + 6


Substitute the second equation into the first equation.


5(d + 6) + 10d = 120
5d + 30 + 10d = 120
15d = 90
d = 6


---> Ethan has 12 nickels and 6 dimes.