Carl had a total of 69 notes. The notes are $5 notes and $10 notes. After he spent 75% of the $5 notes and 60% of the $10 notes on one stand mixer, he was left with 3 times as many $10 notes as $5 notes. How much did the stand mixer cost?

	$5	$10
Before	4x2 = 8 u	5x3 = 15 u
Change	- 3x2 = - 6 u	- 3x3 = - 9 u
After	1x2 = 2 u	2x3 = 6 u
Comparing $5 and $10 in the end	1x2  = 2 u	3x2 = 6 u

75% of $5 notes = ⁷⁵
₁₀₀ of $5 notes = ³₄ of $5 notes
60% of $10 notes = ⁶⁰₁₀₀ of $10 notes = ³₅ of $10 notes

The number of $5 notes in the end is repeated.  Make the number of $5 notes the same.  LCM of 2 and 3 is 6.

The number of $10 notes in the end is repeated. Make the number of $10 notes the same. LCM of 1 and 2 is 2.

Number of notes at first
= 8 u + 15 u
= 23 u

23 u = 69

1 u = 69 ÷ 23 = 3

	$5	$10
Number	6 u	9 u
Value	5	10
Total value	30 u	90 u

Value of $5 spent
= 6 u x 5
= 30 u

Value of $10 spent
= 9 u x 10
= 90 u

Price of the stand mixer
= 30 u + 90 u
= 120 u
= 120 x 3
= $360

Answer(s): $360