Anna had a total of 94 pieces of $100 and $50 notes at first. She spent ³₇ of the number of $100 notes and received another 5 pieces of $50 notes from her mother. After that, the number of $50 notes she had was ¹₂ of the remaining notes. How much money did Anna have at first?

	$100	$50	Total
Before	7 u	4 u - 5	94
Change	- 3 u	+ 5
After	4 u
Comparing $100-notes and $50-notes	1x4 = 4 u	1x4 = 4 u

The number of $100-notes and $50-notes in the end is the same.

The number of $100-notes in the end is repeated.  Make the number of $100-notes in the end the same. LCM of 1 and 4 is 4.

Number of notes at first
= 7 u + 4 u - 5
= 11 u - 5

11 u - 5 = 94
11 u = 94 + 5
11 u = 99

1 u = 99 ÷  11 = 9

Number of $100-notes at first
= 7 u
= 7 x 9
= 63

Total value of $100-notes at first
= 63 x 100
= $6300

Number of $50-notes at first
= 4 u - 5
= 4 x 9 - 5
= 36 - 5
= 31

Total value of $50-notes at first
= 31 x 50
= $1550

Amount that Anna had at first
= 6300 + 1550 
= $7850

Answer(s): $7850