Sarah spent ¹₄ of her salary on a vacuum cleaner and ³₄ of the remainder on a kettle. If she saved the remaining $108, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ¹₄

Fraction of the salary on the remainder
= 1 - ¹₄
= ³₄

Fraction of the remainder on savings
= 1 - ³₄
= ¹₄

Vacuum Cleaner	Remainder		Total
1x4	3x4		4x4
	Kettle	Savings
	3x3	1x3
4 u	9 u	3 u	16 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 3 and 4 is 12.

Total salary = 16 u

Amount spent of the vacuum cleaner = 4 u
Amount spent on the kettle = 9 u
Amount of savings = 3 u

3 u = 108

1 u = 108 ÷ 3 = 36

Sarah's salary
= 16 u
= 16 x 36
= $576

Answer(s): $576