80% of Erika's amount was $1102 more than Archie's amount. When Erika spent 65% of her amount and Archie spent 20% of his amount, they had the same amount of amount left. Find the amount that Archie had at first.

	80% of Erika's amount	Erika's amount	Archie's amount
Before	64 u	80 u	35 u
Change		- 52 u (- 65%)	- 7 u (- 20%)
After		28 u	28 u

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

Percentage of Archie's amount left
= 100% - 20%
= 80%

35% = ³⁵₁₀₀ = ⁷₂₀
80% = ⁸⁰₁₀₀ = ⁴₅

The amounts of amount that Erika and Archie had left were the same.
Make the numerators the same.

⁷₂₀ of Erika's amount = ⁴₅ of Archie's amount
²⁸₈₀ of Erika's amount = ²⁸₃₅ of Archie's amount

Amount that Erika had = 80 u

80% of the amount that Erika had
= 80 u x 80%
= 80 u x ⁸⁰₁₀₀
= 64 u

Difference between 80% of Erika's amount and Archie's amount
= 64 u - 35 u 
= 29 u

29 u = 1102
1 u = 1102 ÷ 29 = 38

Amount that Archie had at first
= 35 u
= 35 x 38
= $1330

Answer(s): $1330