70% of Lucy's amount was $38 more than Albert's amount. When Lucy spent 55% of her amount and Albert spent 35% of his amount, they had the same amount of amount left. Find the amount that Albert had at first.

	70% of Lucy's amount	Lucy's amount	Albert's amount
Before	182 u	260 u	180 u
Change		- 143 u (- 55%)	- 63 u (- 35%)
After		117 u	117 u

Percentage of Lucy's amount left
= 100% - 55%
= 45%

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

45% = ⁴⁵₁₀₀ = ⁹₂₀
65% = ⁶⁵₁₀₀ = ¹³₂₀

The amounts of amount that Lucy and Albert had left were the same.
Make the numerators the same.

⁹₂₀ of Lucy's amount = ¹³₂₀ of Albert's amount
¹¹⁷₂₆₀ of Lucy's amount = ¹¹⁷₁₈₀ of Albert's amount

Amount that Lucy had = 260 u

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

Difference between 70% of Lucy's amount and Albert's amount
= 182 u - 180 u 
= 2 u

2 u = 38
1 u = 38 ÷ 2 = 19

Amount that Albert had at first
= 180 u
= 180 x 19
= $3420

Answer(s): $3420