Cindy had $380 less than Brandon. Brandon spent 0.8 of his money and Cindy spent 0.4 of her money. In the end, Brandon and Cindy had the same amount of money left. Find the amount of money Cindy had at first.

	Cindy	Brandon	Difference
Before	5 u	15 u	10 u
Change	- 1 u	- 3 u
After	3 u	3 u

0.8 = ⁴₅

Fraction of Brandon's amount left
= 1 - ⁴₅
= ¹₅

0.4 = ²₅

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

The amount that Brandon and Cindy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.

¹₅ of Brandon's amount = ³₅ of Cindy's amount
³₁₅ of Brandon's amount = ³₅ of Cindy's amount

Amount that Cindy had less than Brandon
= 15 u - 5 u
= 10 u

10 u = 380

1 u = 380 ÷ 10 = 38

Amount that Cindy had at first
= 5 u
= 5 x 38
= $190

Answer(s): $190