Sarah spent ²₃ of her salary on a juicer and ²₅ of the remainder on a vacuum cleaner. If she saved the remaining $96, how much was her salary?
Fraction of the salary spent on the juicer = ²₃

Fraction of the salary on the remainder
= 1 - ²₃
= ¹₃

Fraction of the remainder on savings
= 1 - ²₅
= ³₅

Juicer	Remainder		Total
2x5	1x5		3x5
	Vacuum Cleaner	Savings
	2x1	3x1
10 u	2 u	3 u	15 u

The remainder and the total amount on the vacuum cleaner and the savings are the same. Make the remainder and the total amount on the vacuum cleaner and the savings the same.  LCM of 1 and 5 is 5.

Total salary = 15 u

Amount spent of the juicer = 10 u
Amount spent on the vacuum cleaner = 2 u
Amount of savings = 3 u

3 u = 96

1 u = 96 ÷ 3 = 32

Sarah's salary
= 15 u
= 15 x 32
= $480

Answer(s): $480