Tammy had a total of 29 pieces of $20 and $5 notes at first. She spent ⁵₈ of the number of $20 notes and received another 4 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 Tammy have at first?

	$20	$5	Total
Before	8 u	3 u - 4	29
Change	- 5 u	+ 4
After	3 u
Comparing $20-notes and $5-notes	1x3 = 3 u	1x3 = 3 u

The number of $20-notes and $5-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
= 8 u + 3 u - 4
= 11 u - 4

11 u - 4 = 29
11 u = 29 + 4
11 u = 33

1 u = 33 ÷  11 = 3

Number of $20-notes at first
= 8 u
= 8 x 3
= 24

Total value of $20-notes at first
= 24 x 20
= $480

Number of $5-notes at first
= 3 u - 4
= 3 x 3 - 4
= 9 - 4
= 5

Total value of $5-notes at first
= 5 x 5
= $25

Amount that Tammy had at first
= 480 + 25 
= $505

Answer(s): $505