90% of Barbara's amount was $703 more than Xavier's amount. When Barbara spent 60% of her amount and Xavier spent 35% of his amount, they had the same amount of amount left. Find the amount that Xavier had at first.

	90% of Barbara's amount	Barbara's amount	Xavier's amount
Before	58.5 u	65 u	40 u
Change		- 39 u (- 60%)	- 14 u (- 35%)
After		26 u	26 u

Percentage of Barbara's amount left
= 100% - 60%
= 40%

Percentage of Xavier's amount left
= 100% - 35%
= 65%

40% = ⁴⁰₁₀₀ = ²₅
65% = ⁶⁵₁₀₀ = ¹³₂₀

The amounts of amount that Barbara and Xavier had left were the same.
Make the numerators the same.

²₅ of Barbara's amount = ¹³₂₀ of Xavier's amount
²⁶₆₅ of Barbara's amount = ²⁶₄₀ of Xavier's amount

Amount that Barbara had = 65 u

90% of the amount that Barbara had
= 65 u x 90%
= 65 u x ⁹⁰₁₀₀
= 58.5 u

Difference between 90% of Barbara's amount and Xavier's amount
= 58.5 u - 40 u 
= 18.5 u

18.5 u = 703
1 u = 703 ÷ 18.5 = 38

Amount that Xavier had at first
= 40 u
= 40 x 38
= $1520

Answer(s): $1520