Carl had a total of 270 notes. The notes are $10 notes and $2 notes. After he spent 90% of the $10 notes and 75% of the $2 notes on one washing machine, he was left with 5 times as many $2 notes as $10 notes. How much did the washing machine cost?

	$10	$2
Before	10x1 = 10 u	4x5 = 20 u
Change	- 9x1 = - 9 u	- 3x5 = - 15 u
After	1x1 = 1 u	1x5 = 5 u
Comparing $10 and $2 in the end	1x1  = 1 u	5x1 = 5 u

90% of $10 notes = ⁹⁰
₁₀₀ of $10 notes = ⁹₁₀ of $10 notes
75% of $2 notes = ⁷⁵₁₀₀ of $2 notes = ³₄ 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 5 is 5.

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
= 10 u + 20 u
= 30 u

30 u = 270

1 u = 270 ÷ 30 = 9

	$10	$2
Number	9 u	15 u
Value	10	2
Total value	90 u	30 u

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

Value of $2 spent
= 15 u x 2
= 30 u

Price of the washing machine
= 90 u + 30 u
= 120 u
= 120 x 9
= $1080

Answer(s): $1080