Xandra had $345 less than Wesley. Wesley spent 0.8 of his money and Xandra spent 0.2 of her money. In the end, Wesley and Xandra had the same amount of money left. Find the amount of money Xandra had at first.

	Xandra	Wesley	Difference
Before	5 u	20 u	15 u
Change	- 1 u	- 4 u
After	4 u	4 u

0.8 = ⁴₅

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

0.2 = ¹₅

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

The amount that Wesley and Xandra each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.

¹₅ of Wesley's amount = ⁴₅ of Xandra's amount
⁴₂₀ of Wesley's amount = ⁴₅ of Xandra's amount

Amount that Xandra had less than Wesley
= 20 u - 5 u
= 15 u

15 u = 345

1 u = 345 ÷ 15 = 23

Amount that Xandra had at first
= 5 u
= 5 x 23
= $115

Answer(s): $115