Answer:
There are 9 dimes and 15 nickels.
Explanation:
Let number of dimes be 'd' and number of nickels be 'n'.
Given:
Total amount Debi has = $1.65
Number of nickels is 6 more than dimes.
We know that,
1 dime = $0.10
∴ 'd' dimes = $

1 nickel = $0.05
∴ 'n' nickels = $

As per question,
Number of nickels = 6 + number of dimes
∴
--------1
Also, total amount = $1.65
∴
------2
Now, solving equations (1) and (2) for 'n' and 'd'.
Plug in the value of 'n' from equation (1) in equation (2). This gives,

Therefore, the number of dimes are 9.
Number of nickels are = 9 + 6 = 15