30% of Zoe's amount was $2240 less than Fred's amount. When Zoe spent 35% of her amount and Fred spent 70% of his amount, they had the same amount of amount left. Find the amount that Fred had at first.

	Zoe	Fred
Before	60 u	130 u
Change	- 21 u	- 91 u
After	39 u	39 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
30% = ³⁰₁₀₀ = ³₁₀

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

¹³₂₀ of Zoe's amount = ³₁₀ of Fred's amount
³⁹₆₀ of Zoe's amount = ³⁹₁₃₀ of Fred's amount

Amount that Zoe had = 60 u

30% of the amount that Zoe had
= 30% x 60 u
= ³⁰₁₀₀ x 60 u
= 18 u

Difference between Fred's amount and 30% of Zoe's amount
= 130 u - 18 u
= 112 u

112 u = 2240

1 u = 2240 ÷ 112 = 20

Amount that Fred had at first
= 130 u
= 130 x 20
= $2600

Answer(s): $2600