Emma spent ²₃ of her salary on a food processor and ³₅ of the remainder on a vacuum cleaner. If she saved the remaining $78, how much was her salary?
Fraction of the salary spent on the food processor = ²₃

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

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

Food Processor	Remainder		Total
2x5	1x5		3x5
	Vacuum Cleaner	Savings
	3x1	2x1
10 u	3 u	2 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 1 and 5 is 5.

Total salary = 15 u

Amount spent of the food processor = 10 u
Amount spent on the vacuum cleaner = 3 u
Amount of savings = 2 u

2 u = 78

1 u = 78 ÷ 2 = 39

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

Answer(s): $585