Shannon spent ¹₅ of her salary on a vacuum cleaner and ²₃ of the remainder on a speaker. If she saved the remaining $96, how much was her salary?
Fraction of the salary spent on the vacuum cleaner = ¹₅

Fraction of the salary on the remainder
= 1 - ¹₅
= ⁴₅

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

Vacuum Cleaner	Remainder		Total
1x3	4x3		5x3
	Speaker	Savings
	2x4	1x4
3 u	8 u	4 u	15 u

The remainder and the total amount on the speaker and the savings are the same. Make the remainder and the total amount on the speaker and the savings the same.  LCM of 4 and 3 is 12.

Total salary = 15 u

Amount spent of the vacuum cleaner = 3 u
Amount spent on the speaker = 8 u
Amount of savings = 4 u

4 u = 96

1 u = 96 ÷ 4 = 24

Shannon's salary
= 15 u
= 15 x 24
= $360

Answer(s): $360