Tiffany had a total of 125 pieces of $20 and $10 notes at first. She spent ⁵₈ of the number of $20 notes and received another 7 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 Tiffany have at first?

	$20	$10	Total
Before	8 u	3 u - 7	125
Change	- 5 u	+ 7
After	3 u
Comparing $20-notes and $10-notes	1x3 = 3 u	1x3 = 3 u

The number of $20-notes and $10-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 - 7
= 11 u - 7

11 u - 7 = 125
11 u = 125 + 7
11 u = 132

1 u = 132 ÷  11 = 12

Number of $20-notes at first
= 8 u
= 8 x 12
= 96

Total value of $20-notes at first
= 96 x 20
= $1920

Number of $10-notes at first
= 3 u - 7
= 3 x 12 - 7
= 36 - 7
= 29

Total value of $10-notes at first
= 29 x 10
= $290

Amount that Tiffany had at first
= 1920 + 290 
= $2210

Answer(s): $2210