40% of Marion's amount was $4664 less than Ryan's amount. When Marion spent 35% of her amount and Ryan spent 70% of his amount, they had the same amount of amount left. Find the amount that Ryan had at first.

	Marion	Ryan
Before	60 u	130 u
Change	- 21 u	- 91 u
After	39 u	39 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
30% = ³⁰₁₀₀ = ³₁₀

The amounts of amount that Marion and Ryan had left were the same. Make the numerators the same.

¹³₂₀ of Marion's amount = ³₁₀ of Ryan's amount
³⁹₆₀ of Marion's amount = ³⁹₁₃₀ of Ryan's amount

Amount that Marion had = 60 u

40% of the amount that Marion had
= 40% x 60 u
= ⁴⁰₁₀₀ x 60 u
= 24 u

Difference between Ryan's amount and 40% of Marion's amount
= 130 u - 24 u
= 106 u

106 u = 4664

1 u = 4664 ÷ 106 = 44

Amount that Ryan had at first
= 130 u
= 130 x 44
= $5720

Answer(s): $5720