Shiyun spent ²₃ of her salary on a blender and ³₅ of the remainder on a stand mixer. If she saved the remaining $78, how much was her salary?
Fraction of the salary spent on the blender = ²₃

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

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

Blender	Remainder		Total
2x5	1x5		3x5
	Stand Mixer	Savings
	3x1	2x1
10 u	3 u	2 u	15 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 1 and 5 is 5.

Total salary = 15 u

Amount spent of the blender = 10 u
Amount spent on the stand mixer = 3 u
Amount of savings = 2 u

2 u = 78

1 u = 78 ÷ 2 = 39

Shiyun's salary
= 15 u
= 15 x 39
= $585

Answer(s): $585