Olivia had a total of 62 pieces of $2 and $10 notes at first. She spent ³₈ of the number of $2 notes and received another 3 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 Olivia have at first?

	$2	$10	Total
Before	8 u	5 u - 3	62
Change	- 3 u	+ 3
After	5 u
Comparing $2-notes and $10-notes	1x5 = 5 u	1x5 = 5 u

The number of $2-notes and $10-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 5 is 5.

Number of notes at first
= 8 u + 5 u - 3
= 13 u - 3

13 u - 3 = 62
13 u = 62 + 3
13 u = 65

1 u = 65 ÷  13 = 5

Number of $2-notes at first
= 8 u
= 8 x 5
= 40

Total value of $2-notes at first
= 40 x 2
= $80

Number of $10-notes at first
= 5 u - 3
= 5 x 5 - 3
= 25 - 3
= 22

Total value of $10-notes at first
= 22 x 10
= $220

Amount that Olivia had at first
= 80 + 220 
= $300

Answer(s): $300