Shiyun spent ¹₇ of her salary on a vacuum cleaner and ³₅ of the remainder on a lamp. If she saved the remaining $240, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ¹₇

Fraction of the salary on the remainder
= 1 - ¹₇
= ⁶₇

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

Vacuum Cleaner	Remainder		Total
1x5	6x5		7x5
	Lamp	Savings
	3x6	2x6
5 u	18 u	12 u	35 u

The remainder and the total amount on the lamp and the savings are the same. Make the remainder and the total amount on the lamp and the savings the same.  LCM of 6 and 5 is 30.

Total salary = 35 u

Amount spent of the vacuum cleaner = 5 u
Amount spent on the lamp = 18 u
Amount of savings = 12 u

12 u = 240

1 u = 240 ÷ 12 = 20

Shiyun's salary
= 35 u
= 35 x 20
= $700

Answer(s): $700