Lynn had a total of 103 pieces of $100 and $50 notes at first. She spent ⁵₇ of the number of $100 notes and received another 5 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 Lynn have at first?

	$100	$50	Total
Before	7 u	2 u - 5	103
Change	- 5 u	+ 5
After	2 u
Comparing $100-notes and $50-notes	1x2 = 2 u	1x2 = 2 u

The number of $100-notes and $50-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 2 is 2.

Number of notes at first
= 7 u + 2 u - 5
= 9 u - 5

9 u - 5 = 103
9 u = 103 + 5
9 u = 108

1 u = 108 ÷  9 = 12

Number of $100-notes at first
= 7 u
= 7 x 12
= 84

Total value of $100-notes at first
= 84 x 100
= $8400

Number of $50-notes at first
= 2 u - 5
= 2 x 12 - 5
= 24 - 5
= 19

Total value of $50-notes at first
= 19 x 50
= $950

Amount that Lynn had at first
= 8400 + 950 
= $9350

Answer(s): $9350