Eva had a total of 60 pieces of $5 and $100 notes at first. She spent ²₅ of the number of $5 notes and received another 12 pieces of $100 notes from her mother. After that, the number of $100 notes she had was ¹₂ of the remaining notes. How much money did Eva have at first?

	$5	$100	Total
Before	5 u	3 u - 12	60
Change	- 2 u	+ 12
After	3 u
Comparing $5-notes and $100-notes	1x3 = 3 u	1x3 = 3 u

The number of $5-notes and $100-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 - 12
= 8 u - 12

8 u - 12 = 60
8 u = 60 + 12
8 u = 72

1 u = 72 ÷  8 = 9

Number of $5-notes at first
= 5 u
= 5 x 9
= 45

Total value of $5-notes at first
= 45 x 5
= $225

Number of $100-notes at first
= 3 u - 12
= 3 x 9 - 12
= 27 - 12
= 15

Total value of $100-notes at first
= 15 x 100
= $1500

Amount that Eva had at first
= 225 + 1500 
= $1725

Answer(s): $1725