Jade had a total of 17 pieces of $10 and $100 notes at first. She spent ²₅ of the number of $10 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 Jade have at first?

	$10	$100	Total
Before	5 u	3 u - 7	17
Change	- 2 u	+ 7
After	3 u
Comparing $10-notes and $100-notes	1x3 = 3 u	1x3 = 3 u

The number of $10-notes and $100-notes in the end is the same.

The number of $10-notes in the end is repeated.  Make the number of $10-notes in the end the same. LCM of 1 and 3 is 3.

Number of notes at first
= 5 u + 3 u - 7
= 8 u - 7

8 u - 7 = 17
8 u = 17 + 7
8 u = 24

1 u = 24 ÷  8 = 3

Number of $10-notes at first
= 5 u
= 5 x 3
= 15

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

Number of $100-notes at first
= 3 u - 7
= 3 x 3 - 7
= 9 - 7
= 2

Total value of $100-notes at first
= 2 x 100
= $200

Amount that Jade had at first
= 150 + 200 
= $350

Answer(s): $350