Emma spent ¹₄ of her salary on a lamp and ³₄ of the remainder on a vacuum cleaner. If she saved the remaining $105, how much was her salary?
Fraction of the salary spent on the lamp = ¹₄

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

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

Lamp	Remainder		Total
1x4	3x4		4x4
	Vacuum Cleaner	Savings
	3x3	1x3
4 u	9 u	3 u	16 u

The remainder and the total amount on the vacuum cleaner and the savings are the same. Make the remainder and the total amount on the vacuum cleaner and the savings the same.  LCM of 3 and 4 is 12.

Total salary = 16 u

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

3 u = 105

1 u = 105 ÷ 3 = 35

Emma's salary
= 16 u
= 16 x 35
= $560

Answer(s): $560