Usha had a total of 72 pieces of $20 and $50 notes at first. She spent ²₅ of the number of $20 notes and received another 8 pieces of $50 notes from her mother. After that, the number of $50 notes she had was ¹₂ of the remaining notes. How much money did Usha have at first?

	$20	$50	Total
Before	5 u	3 u - 8	72
Change	- 2 u	+ 8
After	3 u
Comparing $20-notes and $50-notes	1x3 = 3 u	1x3 = 3 u

The number of $20-notes and $50-notes in the end is the same.

The number of $20-notes in the end is repeated.  Make the number of $20-notes in the end the same. LCM of 1 and 3 is 3.

Number of notes at first
= 5 u + 3 u - 8
= 8 u - 8

8 u - 8 = 72
8 u = 72 + 8
8 u = 80

1 u = 80 ÷  8 = 10

Number of $20-notes at first
= 5 u
= 5 x 10
= 50

Total value of $20-notes at first
= 50 x 20
= $1000

Number of $50-notes at first
= 3 u - 8
= 3 x 10 - 8
= 30 - 8
= 22

Total value of $50-notes at first
= 22 x 50
= $1100

Amount that Usha had at first
= 1000 + 1100 
= $2100

Answer(s): $2100