Xandra spent ¹₈ of her salary on a television set and ²₃ of the remainder on a stand mixer. If she saved the remaining $182, how much was her salary?
Fraction of the salary spent on the television set = ¹₈

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

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

Television Set	Remainder		Total
1x3	7x3		8x3
	Stand Mixer	Savings
	2x7	1x7
3 u	14 u	7 u	24 u

The remainder and the total amount on the stand mixer and the savings are the same. Make the remainder and the total amount on the stand mixer and the savings the same.  LCM of 7 and 3 is 21.

Total salary = 24 u

Amount spent of the television set = 3 u
Amount spent on the stand mixer = 14 u
Amount of savings = 7 u

7 u = 182

1 u = 182 ÷ 7 = 26

Xandra's salary
= 24 u
= 24 x 26
= $624

Answer(s): $624