Lucy spent ¹₇ of her salary on a blender and ²₅ of the remainder on a vacuum cleaner. If she saved the remaining $666, how much was her salary?
Fraction of the salary spent on the blender = ¹₇

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

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

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

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

Total salary = 35 u

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

18 u = 666

1 u = 666 ÷ 18 = 37

Lucy's salary
= 35 u
= 35 x 37
= $1295

Answer(s): $1295