Pamela had a total of 30 pieces of $5 and $20 notes at first. She spent ²₅ of the number of $5 notes and received another 10 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 Pamela have at first?

	$5	$20	Total
Before	5 u	3 u - 10	30
Change	- 2 u	+ 10
After	3 u
Comparing $5-notes and $20-notes	1x3 = 3 u	1x3 = 3 u

The number of $5-notes and $20-notes in the end is the same.

The number of $5-notes in the end is repeated.  Make the number of $5-notes in the end the same. LCM of 1 and 3 is 3.

Number of notes at first
= 5 u + 3 u - 10
= 8 u - 10

8 u - 10 = 30
8 u = 30 + 10
8 u = 40

1 u = 40 ÷  8 = 5

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

Total value of $5-notes at first
= 25 x 5
= $125

Number of $20-notes at first
= 3 u - 10
= 3 x 5 - 10
= 15 - 10
= 5

Total value of $20-notes at first
= 5 x 20
= $100

Amount that Pamela had at first
= 125 + 100 
= $225

Answer(s): $225