30% of Xandra's amount was $2067 less than Sam's amount. When Xandra spent 35% of her amount and Sam spent 60% of his amount, they had the same amount of amount left. Find the amount that Sam had at first.

	Xandra	Sam
Before	40 u	65 u
Change	- 14 u	- 39 u
After	26 u	26 u

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

Percentage of Sam's amount left
= 100% - 60%
= 40%

65% = ⁶⁵₁₀₀ = ¹³₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Xandra and Sam had left were the same. Make the numerators the same.

¹³₂₀ of Xandra's amount = ²₅ of Sam's amount
²⁶₄₀ of Xandra's amount = ²⁶₆₅ of Sam's amount

Amount that Xandra had = 40 u

30% of the amount that Xandra had
= 30% x 40 u
= ³⁰₁₀₀ x 40 u
= 12 u

Difference between Sam's amount and 30% of Xandra's amount
= 65 u - 12 u
= 53 u

53 u = 2067

1 u = 2067 ÷ 53 = 39

Amount that Sam had at first
= 65 u
= 65 x 39
= $2535

Answer(s): $2535