Jaslyn had a total of 114 pieces of $2 and $100 notes at first. She spent ⁵₈ of the number of $2 notes and received another 7 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 Jaslyn have at first?

	$2	$100	Total
Before	8 u	3 u - 7	114
Change	- 5 u	+ 7
After	3 u
Comparing $2-notes and $100-notes	1x3 = 3 u	1x3 = 3 u

The number of $2-notes and $100-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 3 is 3.

Number of notes at first
= 8 u + 3 u - 7
= 11 u - 7

11 u - 7 = 114
11 u = 114 + 7
11 u = 121

1 u = 121 ÷  11 = 11

Number of $2-notes at first
= 8 u
= 8 x 11
= 88

Total value of $2-notes at first
= 88 x 2
= $176

Number of $100-notes at first
= 3 u - 7
= 3 x 11 - 7
= 33 - 7
= 26

Total value of $100-notes at first
= 26 x 100
= $2600

Amount that Jaslyn had at first
= 176 + 2600 
= $2776

Answer(s): $2776