We need to formulate the equation of this problem.
Let x = the number of notes for denomination of 500
y = the number of notes for denomination of 100
We need to formulate the system of equation,
X + y = 150
500x + 100y = 25,000
Solution:
X = 150 – y
Substitute the value of x to the other equation:
500 (150 – y) + 100y = 25,000
75,000 – 500y + 100y = 25,000
-400y = 25,000 – 75,000
-400y = -50,000
y = 125
x = 150 – 125 (substitute the value of y)
x = 25
Therefore, there are 25 notes for denomination of 500 and 125 notes for denomination of 100.