Betty spent ¹₆ of her salary on a juicer and ²₃ of the remainder on a television set. If she saved the remaining $160, how much was her salary?
Fraction of the salary spent on the juicer = ¹₆

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

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

Juicer	Remainder		Total
1x3	5x3		6x3
	Television Set	Savings
	2x5	1x5
3 u	10 u	5 u	18 u

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

Total salary = 18 u

Amount spent of the juicer = 3 u
Amount spent on the television set = 10 u
Amount of savings = 5 u

5 u = 160

1 u = 160 ÷ 5 = 32

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

Answer(s): $576