Penelope spent ³₅ of her salary on a television set and ²₃ of the remainder on a toaster oven. If she saved the remaining $76, how much was her salary?
Fraction of the salary spent on the television set = ³₅

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

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

Television Set	Remainder		Total
3x3	2x3		5x3
	Toaster Oven	Savings
	2x2	1x2
9 u	4 u	2 u	15 u

The remainder and the total amount on the toaster oven and the savings are the same. Make the remainder and the total amount on the toaster oven and the savings the same.  LCM of 2 and 3 is 6.

Total salary = 15 u

Amount spent of the television set = 9 u
Amount spent on the toaster oven = 4 u
Amount of savings = 2 u

2 u = 76

1 u = 76 ÷ 2 = 38

Penelope's salary
= 15 u
= 15 x 38
= $570

Answer(s): $570