Joelle spent ¹₅ of her salary on a television set and ²₃ of the remainder on a vacuum cleaner. If she saved the remaining $112, how much was her salary?
Fraction of the salary spent on the television set = ¹₅

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

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

Television Set	Remainder		Total
1x3	4x3		5x3
	Vacuum Cleaner	Savings
	2x4	1x4
3 u	8 u	4 u	15 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 4 and 3 is 12.

Total salary = 15 u

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

4 u = 112

1 u = 112 ÷ 4 = 28

Joelle's salary
= 15 u
= 15 x 28
= $420

Answer(s): $420