Carl had a total of 114 notes. The notes are $10 notes and $2 notes. After he spent 75% of the $10 notes and 80% of the $2 notes on one juicer, he was left with 3 times as many $2 notes as $10 notes. How much did the juicer cost?

	$10	$2
Before	4x1 = 4 u	5x3 = 15 u
Change	- 3x1 = - 3 u	- 4x3 = - 12 u
After	1x1 = 1 u	1x3 = 3 u
Comparing $10 and $2 in the end	1x1  = 1 u	3x1 = 3 u

75% of $10 notes = ⁷⁵
₁₀₀ of $10 notes = ³₄ of $10 notes
80% of $2 notes = ⁸⁰₁₀₀ of $2 notes = ⁴₅ of $2 notes

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

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

Number of notes at first
= 4 u + 15 u
= 19 u

19 u = 114

1 u = 114 ÷ 19 = 6

	$10	$2
Number	3 u	12 u
Value	10	2
Total value	30 u	24 u

Value of $10 spent
= 3 u x 10
= 30 u

Value of $2 spent
= 12 u x 2
= 24 u

Price of the juicer
= 30 u + 24 u
= 54 u
= 54 x 6
= $324

Answer(s): $324