Yen spent ¹₈ of her salary on a food processor and ³₄ of the remainder on a stand mixer. If she saved the remaining $161, how much was her salary?
Fraction of the salary spent on the food processor = ¹₈

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

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

Food Processor	Remainder		Total
1x4	7x4		8x4
	Stand Mixer	Savings
	3x7	1x7
4 u	21 u	7 u	32 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 4 is 28.

Total salary = 32 u

Amount spent of the food processor = 4 u
Amount spent on the stand mixer = 21 u
Amount of savings = 7 u

7 u = 161

1 u = 161 ÷ 7 = 23

Yen's salary
= 32 u
= 32 x 23
= $736

Answer(s): $736