Raeann had a total of 28 pieces of $2 and $20 notes at first. She spent ³₅ of the number of $2 notes and received another 7 pieces of $20 notes from her mother. After that, the number of $20 notes she had was ¹₂ of the remaining notes. How much money did Raeann have at first?

	$2	$20	Total
Before	5 u	2 u - 7	28
Change	- 3 u	+ 7
After	2 u
Comparing $2-notes and $20-notes	1x2 = 2 u	1x2 = 2 u

The number of $2-notes and $20-notes in the end is the same.

The number of $2-notes in the end is repeated.  Make the number of $2-notes in the end the same. LCM of 1 and 2 is 2.

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

7 u - 7 = 28
7 u = 28 + 7
7 u = 35

1 u = 35 ÷  7 = 5

Number of $2-notes at first
= 5 u
= 5 x 5
= 25

Total value of $2-notes at first
= 25 x 2
= $50

Number of $20-notes at first
= 2 u - 7
= 2 x 5 - 7
= 10 - 7
= 3

Total value of $20-notes at first
= 3 x 20
= $60

Amount that Raeann had at first
= 50 + 60 
= $110

Answer(s): $110