Cathy spent ¹₄ of her salary on a food processor and ³₄ of the remainder on a television set. If she saved the remaining $75, how much was her salary?
Fraction of the salary spent on the food processor = ¹₄

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

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

Food Processor	Remainder		Total
1x4	3x4		4x4
	Television Set	Savings
	3x3	1x3
4 u	9 u	3 u	16 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 3 and 4 is 12.

Total salary = 16 u

Amount spent of the food processor = 4 u
Amount spent on the television set = 9 u
Amount of savings = 3 u

3 u = 75

1 u = 75 ÷ 3 = 25

Cathy's salary
= 16 u
= 16 x 25
= $400

Answer(s): $400