Cindy had a total of 118 pieces of $50 and $100 notes at first. She spent ⁵₈ of the number of $50 notes and received another 3 pieces of $100 notes from her mother. After that, the number of $100 notes she had was ¹₂ of the remaining notes. How much money did Cindy have at first?

	$50	$100	Total
Before	8 u	3 u - 3	118
Change	- 5 u	+ 3
After	3 u
Comparing $50-notes and $100-notes	1x3 = 3 u	1x3 = 3 u

The number of $50-notes and $100-notes in the end is the same.

The number of $50-notes in the end is repeated.  Make the number of $50-notes in the end the same. LCM of 1 and 3 is 3.

Number of notes at first
= 8 u + 3 u - 3
= 11 u - 3

11 u - 3 = 118
11 u = 118 + 3
11 u = 121

1 u = 121 ÷  11 = 11

Number of $50-notes at first
= 8 u
= 8 x 11
= 88

Total value of $50-notes at first
= 88 x 50
= $4400

Number of $100-notes at first
= 3 u - 3
= 3 x 11 - 3
= 33 - 3
= 30

Total value of $100-notes at first
= 30 x 100
= $3000

Amount that Cindy had at first
= 4400 + 3000 
= $7400

Answer(s): $7400