Tammy had a total of 85 pieces of $100 and $10 notes at first. She spent ⁵₇ of the number of $100 notes and received another 5 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 Tammy have at first?

	$100	$10	Total
Before	7 u	2 u - 5	85
Change	- 5 u	+ 5
After	2 u
Comparing $100-notes and $10-notes	1x2 = 2 u	1x2 = 2 u

The number of $100-notes and $10-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 2 is 2.

Number of notes at first
= 7 u + 2 u - 5
= 9 u - 5

9 u - 5 = 85
9 u = 85 + 5
9 u = 90

1 u = 90 ÷  9 = 10

Number of $100-notes at first
= 7 u
= 7 x 10
= 70

Total value of $100-notes at first
= 70 x 100
= $7000

Number of $10-notes at first
= 2 u - 5
= 2 x 10 - 5
= 20 - 5
= 15

Total value of $10-notes at first
= 15 x 10
= $150

Amount that Tammy had at first
= 7000 + 150 
= $7150

Answer(s): $7150