Olivia spent ²₃ of her salary on a vacuum cleaner and ³₅ of the remainder on a refrigerator. If she saved the remaining $72, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ²₃

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

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

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

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

Total salary = 15 u

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

2 u = 72

1 u = 72 ÷ 2 = 36

Olivia's salary
= 15 u
= 15 x 36
= $540

Answer(s): $540