Sarah had a total of 132 pieces of $2 and $20 notes at first. She spent ³₈ of the number of $2 notes and received another 11 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 Sarah have at first?

	$2	$20	Total
Before	8 u	5 u - 11	132
Change	- 3 u	+ 11
After	5 u
Comparing $2-notes and $20-notes	1x5 = 5 u	1x5 = 5 u

The number of $2-notes and $20-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 - 11
= 13 u - 11

13 u - 11 = 132
13 u = 132 + 11
13 u = 143

1 u = 143 ÷  13 = 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 $20-notes at first
= 5 u - 11
= 5 x 11 - 11
= 55 - 11
= 44

Total value of $20-notes at first
= 44 x 20
= $880

Amount that Sarah had at first
= 176 + 880 
= $1056

Answer(s): $1056