Elyse had a total of 130 pieces of $20 and $100 notes at first. She spent ³₇ of the number of $20 notes and received another 2 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 Elyse have at first?

	$20	$100	Total
Before	7 u	4 u - 2	130
Change	- 3 u	+ 2
After	4 u
Comparing $20-notes and $100-notes	1x4 = 4 u	1x4 = 4 u

The number of $20-notes and $100-notes in the end is the same.

The number of $20-notes in the end is repeated.  Make the number of $20-notes in the end the same. LCM of 1 and 4 is 4.

Number of notes at first
= 7 u + 4 u - 2
= 11 u - 2

11 u - 2 = 130
11 u = 130 + 2
11 u = 132

1 u = 132 ÷  11 = 12

Number of $20-notes at first
= 7 u
= 7 x 12
= 84

Total value of $20-notes at first
= 84 x 20
= $1680

Number of $100-notes at first
= 4 u - 2
= 4 x 12 - 2
= 48 - 2
= 46

Total value of $100-notes at first
= 46 x 100
= $4600

Amount that Elyse had at first
= 1680 + 4600 
= $6280

Answer(s): $6280