Kimberly had a total of 119 pieces of $100 and $10 notes at first. She spent ³₈ of the number of $100 notes and received another 11 pieces of $10 notes from her mother. After that, the number of $10 notes she had was ¹₂ of the remaining notes. How much money did Kimberly have at first?

	$100	$10	Total
Before	8 u	5 u - 11	119
Change	- 3 u	+ 11
After	5 u
Comparing $100-notes and $10-notes	1x5 = 5 u	1x5 = 5 u

The number of $100-notes and $10-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 - 11
= 13 u - 11

13 u - 11 = 119
13 u = 119 + 11
13 u = 130

1 u = 130 ÷  13 = 10

Number of $100-notes at first
= 8 u
= 8 x 10
= 80

Total value of $100-notes at first
= 80 x 100
= $8000

Number of $10-notes at first
= 5 u - 11
= 5 x 10 - 11
= 50 - 11
= 39

Total value of $10-notes at first
= 39 x 10
= $390

Amount that Kimberly had at first
= 8000 + 390 
= $8390

Answer(s): $8390