Linda had $430 less than Charlie. Charlie spent 0.6 of his money and Linda spent 0.4 of her money. In the end, Charlie and Linda had the same amount of money left. Find the amount of money Linda had at first.

	Linda	Charlie	Difference
Before	10 u	15 u	5 u
Change	- 2 u	- 3 u
After	6 u	6 u

0.6 = ³₅

Fraction of Charlie's amount left
= 1 - ³₅
= ²₅

0.4 = ²₅

Fraction of Linda's amount left
= 1 - ²₅
= ³₅

The amount that Charlie and Linda each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.

²₅ of Charlie's amount = ³₅ of Linda's amount
⁶₁₅ of Charlie's amount = ⁶₁₀ of Linda's amount

Amount that Linda had less than Charlie
= 15 u - 10 u
= 5 u

5 u = 430

1 u = 430 ÷ 5 = 86

Amount that Linda had at first
= 10 u
= 10 x 86
= $860

Answer(s): $860