Diana spent ¹₈ of her salary on a stand mixer and ²₃ of the remainder on a toaster oven. If she saved the remaining $189, how much was her salary?
Fraction of the salary spent on the stand mixer = ¹₈

Fraction of the salary on the remainder
= 1 - ¹₈
= ⁷₈

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

Stand Mixer	Remainder		Total
1x3	7x3		8x3
	Toaster Oven	Savings
	2x7	1x7
3 u	14 u	7 u	24 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 7 and 3 is 21.

Total salary = 24 u

Amount spent of the stand mixer = 3 u
Amount spent on the toaster oven = 14 u
Amount of savings = 7 u

7 u = 189

1 u = 189 ÷ 7 = 27

Diana's salary
= 24 u
= 24 x 27
= $648

Answer(s): $648