Carl had a total of 84 notes. The notes are $5 notes and $2 notes. After he spent 75% of the $5 notes and 80% of the $2 notes on one television set, he was left with 2 times as many $2 notes as $5 notes. How much did the television set cost?

	$5	$2
Before	4x1 = 4 u	5x2 = 10 u
Change	- 3x1 = - 3 u	- 4x2 = - 8 u
After	1x1 = 1 u	1x2 = 2 u
Comparing $5 and $2 in the end	1x1  = 1 u	2x1 = 2 u

75% of $5 notes = ⁷⁵
₁₀₀ of $5 notes = ³₄ of $5 notes
80% of $2 notes = ⁸⁰₁₀₀ of $2 notes = ⁴₅ of $2 notes

The number of $5 notes in the end is repeated.  Make the number of $5 notes the same.  LCM of 1 and 2 is 2.

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 + 10 u
= 14 u

14 u = 84

1 u = 84 ÷ 14 = 6

	$5	$2
Number	3 u	8 u
Value	5	2
Total value	15 u	16 u

Value of $5 spent
= 3 u x 5
= 15 u

Value of $2 spent
= 8 u x 2
= 16 u

Price of the television set
= 15 u + 16 u
= 31 u
= 31 x 6
= $186

Answer(s): $186