Pamela had a total of 50 pieces of $100 and $5 notes at first. She spent ³₈ of the number of $100 notes and received another 2 pieces of $5 notes from her mother. After that, the number of $5 notes she had was ¹₂ of the remaining notes. How much money did Pamela have at first?

	$100	$5	Total
Before	8 u	5 u - 2	50
Change	- 3 u	+ 2
After	5 u
Comparing $100-notes and $5-notes	1x5 = 5 u	1x5 = 5 u

The number of $100-notes and $5-notes in the end is the same.

The number of $100-notes in the end is repeated.  Make the number of $100-notes in the end the same. LCM of 1 and 5 is 5.

Number of notes at first
= 8 u + 5 u - 2
= 13 u - 2

13 u - 2 = 50
13 u = 50 + 2
13 u = 52

1 u = 52 ÷  13 = 4

Number of $100-notes at first
= 8 u
= 8 x 4
= 32

Total value of $100-notes at first
= 32 x 100
= $3200

Number of $5-notes at first
= 5 u - 2
= 5 x 4 - 2
= 20 - 2
= 18

Total value of $5-notes at first
= 18 x 5
= $90

Amount that Pamela had at first
= 3200 + 90 
= $3290

Answer(s): $3290