Answer:
Letty has 15 quarters, 15 nickels, and 5 dimes.
Explanation:
Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation: 
 
Nickel = 5 
Quarter = 25 
25/5 = 5 
Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes. 
 
3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1 
15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5 
 
Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.