Fiona spent ¹₆ of her salary on a washing machine and ²₃ of the remainder on a kettle. If she saved the remaining $165, how much was her salary?
Fraction of the salary spent on the washing machine = ¹₆

Fraction of the salary on the remainder
= 1 - ¹₆
= ⁵₆

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

Washing Machine	Remainder		Total
1x3	5x3		6x3
	Kettle	Savings
	2x5	1x5
3 u	10 u	5 u	18 u

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

Total salary = 18 u

Amount spent of the washing machine = 3 u
Amount spent on the kettle = 10 u
Amount of savings = 5 u

5 u = 165

1 u = 165 ÷ 5 = 33

Fiona's salary
= 18 u
= 18 x 33
= $594

Answer(s): $594