80% of Sarah's amount was $1400 more than Nick's amount. When Sarah spent 55% of her amount and Nick spent 35% of his amount, they had the same amount of amount left. Find the amount that Nick had at first.

	80% of Sarah's amount	Sarah's amount	Nick's amount
Before	208 u	260 u	180 u
Change		- 143 u (- 55%)	- 63 u (- 35%)
After		117 u	117 u

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

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

45% = ⁴⁵₁₀₀ = ⁹₂₀
65% = ⁶⁵₁₀₀ = ¹³₂₀

The amounts of amount that Sarah and Nick had left were the same.
Make the numerators the same.

⁹₂₀ of Sarah's amount = ¹³₂₀ of Nick's amount
¹¹⁷₂₆₀ of Sarah's amount = ¹¹⁷₁₈₀ of Nick's amount

Amount that Sarah had = 260 u

80% of the amount that Sarah had
= 260 u x 80%
= 260 u x ⁸⁰₁₀₀
= 208 u

Difference between 80% of Sarah's amount and Nick's amount
= 208 u - 180 u 
= 28 u

28 u = 1400
1 u = 1400 ÷ 28 = 50

Amount that Nick had at first
= 180 u
= 180 x 50
= $9000

Answer(s): $9000