Jean spent ¹₇ of her salary on a microwave oven and ²₅ of the remainder on a stand mixer. If she saved the remaining $414, how much was her salary?
Fraction of the salary spent on the microwave oven = ¹₇

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

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

Microwave Oven	Remainder		Total
1x5	6x5		7x5
	Stand Mixer	Savings
	2x6	3x6
5 u	12 u	18 u	35 u

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

Total salary = 35 u

Amount spent of the microwave oven = 5 u
Amount spent on the stand mixer = 12 u
Amount of savings = 18 u

18 u = 414

1 u = 414 ÷ 18 = 23

Jean's salary
= 35 u
= 35 x 23
= $805

Answer(s): $805