Joelle spent ¹₅ of her salary on a kettle and ²₃ of the remainder on a toaster oven. If she saved the remaining $144, how much was her salary?
Fraction of the salary spent on the kettle = ¹₅

Fraction of the salary on the remainder
= 1 - ¹₅
= ⁴₅

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

Kettle	Remainder		Total
1x3	4x3		5x3
	Toaster Oven	Savings
	2x4	1x4
3 u	8 u	4 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 4 and 3 is 12.

Total salary = 15 u

Amount spent of the kettle = 3 u
Amount spent on the toaster oven = 8 u
Amount of savings = 4 u

4 u = 144

1 u = 144 ÷ 4 = 36

Joelle's salary
= 15 u
= 15 x 36
= $540

Answer(s): $540