Answer: Liliana has 9 quarters and 27 nickels.
Explanation:
Let's call the number of quarters Liliana has "q" and the number of nickels she has "n".
From the problem, we know that:
n = q + 18 (because she has 18 more nickels than quarters)
We also know that the total value of the coins is $3.60. We can use the following equation to find the total number of coins:
(0.25 * q) + (0.05 * n) = 3.60
Now we can substitute the first equation into the second equation to get:
(0.25 * q) + (0.05 * (q + 18)) = 3.60
Simplifying this equation:
0.25q + 0.05q + 0.90 = 3.60
0.30q = 2.70
q = 9
So Liliana has 9 quarters. We can use the first equation (n = q + 18) to find the number of nickels she has:
n = 9 + 18
n = 27
Which means, Liliana has 9 quarters and 27 nickels.