Penelope spent ³₅ of her salary on a vacuum cleaner and ²₃ of the remainder on a washing machine. If she saved the remaining $66, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ³₅

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

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

Vacuum Cleaner	Remainder		Total
3x3	2x3		5x3
	Washing Machine	Savings
	2x2	1x2
9 u	4 u	2 u	15 u

The remainder and the total amount on the washing machine and the savings are the same. Make the remainder and the total amount on the washing machine and the savings the same.  LCM of 2 and 3 is 6.

Total salary = 15 u

Amount spent of the vacuum cleaner = 9 u
Amount spent on the washing machine = 4 u
Amount of savings = 2 u

2 u = 66

1 u = 66 ÷ 2 = 33

Penelope's salary
= 15 u
= 15 x 33
= $495

Answer(s): $495