Carl had a total of 210 notes. The notes are $2 notes and $10 notes. After he spent 90% of the $2 notes and 75% of the $10 notes on one food processor, he was left with 5 times as many $10 notes as $2 notes. How much did the food processor cost?

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

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

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

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

Number of notes at first
= 10 u + 20 u
= 30 u

30 u = 210

1 u = 210 ÷ 30 = 7

	$2	$10
Number	9 u	15 u
Value	2	10
Total value	18 u	150 u

Value of $2 spent
= 9 u x 2
= 18 u

Value of $10 spent
= 15 u x 10
= 150 u

Price of the food processor
= 18 u + 150 u
= 168 u
= 168 x 7
= $1176

Answer(s): $1176