Jean spent ¹₇ of her salary on a vacuum cleaner and ²₃ of the remainder on a television set. If she saved the remaining $62, 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 - ²₃
= ¹₃

Vacuum Cleaner	Remainder		Total
1x1	6x1		7x1
	Television Set	Savings
	2x2	1x2
1 u	4 u	2 u	7 u

The remainder and the total amount on the television set and the savings are the same. Make the remainder and the total amount on the television set and the savings the same.  LCM of 6 and 3 is 6.

Total salary = 7 u

Amount spent of the vacuum cleaner = 1 u
Amount spent on the television set = 4 u
Amount of savings = 2 u

2 u = 62

1 u = 62 ÷ 2 = 31

Jean's salary
= 7 u
= 7 x 31
= $217

Answer(s): $217