An Amount of $ 14400 is made up of $100, 50, 20 and 10 notes. The number of $10 notes are 3 times the number of 20 notes. The number of $20 note are 5 times the number of $50 notes.
The number of $50 note are 5 times the number of $100 notes. How many of $100 note are there?
To solve this problem, we can set up a system of equations.
Let's represent the number of $100 notes as x.
According to the given information, the number of $50 notes is 5 times the number of $100 notes, so it would be 5x.
The number of $20 notes is 5 times the number of $50 notes, so it would be 5 * 5x = 25x.
The number of $10 notes is 3 times the number of $20 notes, so it would be 3 * 25x = 75x.
Now, we can write an equation to represent the total value of the money:
100x + 50(5x) + 20(25x) + 10(75x) = 14400
Simplifying the equation:
100x + 250x + 500x + 750x = 14400
1600x = 14400
To solve for x, we divide both sides of the equation by 1600:
x = 14400 / 1600
x = 9
Therefore, there are 9 $100 notes.