Wendy had a total of 124 pieces of $10 and $5 notes at first. She spent ²₇ of the number of $10 notes and received another 8 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 Wendy have at first?

	$10	$5	Total
Before	7 u	5 u - 8	124
Change	- 2 u	+ 8
After	5 u
Comparing $10-notes and $5-notes	1x5 = 5 u	1x5 = 5 u

The number of $10-notes and $5-notes in the end is the same.

The number of $10-notes in the end is repeated.  Make the number of $10-notes in the end the same. LCM of 1 and 5 is 5.

Number of notes at first
= 7 u + 5 u - 8
= 12 u - 8

12 u - 8 = 124
12 u = 124 + 8
12 u = 132

1 u = 132 ÷  12 = 11

Number of $10-notes at first
= 7 u
= 7 x 11
= 77

Total value of $10-notes at first
= 77 x 10
= $770

Number of $5-notes at first
= 5 u - 8
= 5 x 11 - 8
= 55 - 8
= 47

Total value of $5-notes at first
= 47 x 5
= $235

Amount that Wendy had at first
= 770 + 235 
= $1005

Answer(s): $1005