Rachel spent ¹₆ of her salary on a gas stove and ²₃ of the remainder on a vacuum cleaner. If she saved the remaining $160, how much was her salary?
Fraction of the salary spent on the gas stove = ¹₆

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

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

Gas Stove	Remainder		Total
1x3	5x3		6x3
	Vacuum Cleaner	Savings
	2x5	1x5
3 u	10 u	5 u	18 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 5 and 3 is 15.

Total salary = 18 u

Amount spent of the gas stove = 3 u
Amount spent on the vacuum cleaner = 10 u
Amount of savings = 5 u

5 u = 160

1 u = 160 ÷ 5 = 32

Rachel's salary
= 18 u
= 18 x 32
= $576

Answer(s): $576