50% of Zoe's amount was $800 less than Flynn's amount. When Zoe spent 45% of her amount and Flynn spent 70% of his amount, they had the same amount of amount left. Find the amount that Flynn had at first.

	Zoe	Flynn
Before	60 u	110 u
Change	- 27 u	- 77 u
After	33 u	33 u

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

Percentage of Flynn's amount left
= 100% - 70%
= 30%

55% = ⁵⁵₁₀₀ = ¹¹₂₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Zoe and Flynn had left were the same. Make the numerators the same.

¹¹₂₀ of Zoe's amount = ³₁₀ of Flynn's amount
³³₆₀ of Zoe's amount = ³³₁₁₀ of Flynn's amount

Amount that Zoe had = 60 u

50% of the amount that Zoe had
= 50% x 60 u
= ⁵⁰₁₀₀ x 60 u
= 30 u

Difference between Flynn's amount and 50% of Zoe's amount
= 110 u - 30 u
= 80 u

80 u = 800

1 u = 800 ÷ 80 = 10

Amount that Flynn had at first
= 110 u
= 110 x 10
= $1100

Answer(s): $1100