Cathy spent ²₅ of her salary on a vacuum cleaner and ³₅ of the remainder on a lamp. If she saved the remaining $162, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ²₅

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

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

Vacuum Cleaner	Remainder		Total
2x5	3x5		5x5
	Lamp	Savings
	3x3	2x3
10 u	9 u	6 u	25 u

The remainder and the total amount on the lamp and the savings are the same. Make the remainder and the total amount on the lamp and the savings the same.  LCM of 3 and 5 is 15.

Total salary = 25 u

Amount spent of the vacuum cleaner = 10 u
Amount spent on the lamp = 9 u
Amount of savings = 6 u

6 u = 162

1 u = 162 ÷ 6 = 27

Cathy's salary
= 25 u
= 25 x 27
= $675

Answer(s): $675