Kathy spent ¹₆ of her salary on a vacuum cleaner and ³₄ of the remainder on a food processor. If she saved the remaining $115, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ¹₆

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

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

Vacuum Cleaner	Remainder		Total
1x4	5x4		6x4
	Food Processor	Savings
	3x5	1x5
4 u	15 u	5 u	24 u

The remainder and the total amount on the food processor and the savings are the same. Make the remainder and the total amount on the food processor and the savings the same.  LCM of 5 and 4 is 20.

Total salary = 24 u

Amount spent of the vacuum cleaner = 4 u
Amount spent on the food processor = 15 u
Amount of savings = 5 u

5 u = 115

1 u = 115 ÷ 5 = 23

Kathy's salary
= 24 u
= 24 x 23
= $552

Answer(s): $552