70% of Emma's amount was $1134 more than Xavier's amount. When Emma spent 65% 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.

	70% of Emma's amount	Emma's amount	Xavier's amount
Before	182 u	260 u	140 u
Change		- 169 u (- 65%)	- 49 u (- 35%)
After		91 u	91 u

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

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

35% = ³⁵₁₀₀ = ⁷₂₀
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

⁷₂₀ of Emma's amount = ¹³₂₀ of Xavier's amount
⁹¹₂₆₀ of Emma's amount = ⁹¹₁₄₀ of Xavier's amount

Amount that Emma had = 260 u

70% of the amount that Emma had
= 260 u x 70%
= 260 u x ⁷⁰₁₀₀
= 182 u

Difference between 70% of Emma's amount and Xavier's amount
= 182 u - 140 u 
= 42 u

42 u = 1134
1 u = 1134 ÷ 42 = 27

Amount that Xavier had at first
= 140 u
= 140 x 27
= $3780

Answer(s): $3780