Kathy spent ²₃ of her salary on a television set and ³₅ of the remainder on a juicer. If she saved the remaining $64, how much was her salary?
Fraction of the salary spent on the television set = ²₃

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

Fraction of the remainder on savings
= 1 - ³₅
= ²₅

Television Set	Remainder		Total
2x5	1x5		3x5
	Juicer	Savings
	3x1	2x1
10 u	3 u	2 u	15 u

The remainder and the total amount on the juicer and the savings are the same. Make the remainder and the total amount on the juicer and the savings the same.  LCM of 1 and 5 is 5.

Total salary = 15 u

Amount spent of the television set = 10 u
Amount spent on the juicer = 3 u
Amount of savings = 2 u

2 u = 64

1 u = 64 ÷ 2 = 32

Kathy's salary
= 15 u
= 15 x 32
= $480

Answer(s): $480