Answer:
Let's start by assigning variables to the unknowns in the problem. Let x be the number of $100 notes, y be the number of $50 notes, and z be the number of $10 notes.
We know that the ratio of these notes is 2:3:5, so we can write:
x:y:z = 2:3:5
This means that we can write x as 2k, y as 3k, and z as 5k, where k is some constant.
We also know that the total amount of money is $200,000, so we can write:
100x + 50y + 10z = 200000
Substituting our expressions for x, y, and z in terms of k, we get:
100(2k) + 50(3k) + 10(5k) = 200000
Simplifying and solving for k, we get:
20k = 2000
k = 100
So we know that x = 2k = 200, y = 3k = 300, and z = 5k = 500.
Therefore, there are 200 $100 notes, 300 $50 notes, and 500 $10 notes.