30% of Gem's amount was $1272 less than Tim's amount. When Gem spent 35% of her amount and Tim spent 60% of his amount, they had the same amount of amount left. Find the amount that Tim had at first.

	Gem	Tim
Before	40 u	65 u
Change	- 14 u	- 39 u
After	26 u	26 u

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

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

65% = ⁶⁵₁₀₀ = ¹³₂₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Gem and Tim had left were the same. Make the numerators the same.

¹³₂₀ of Gem's amount = ²₅ of Tim's amount
²⁶₄₀ of Gem's amount = ²⁶₆₅ of Tim's amount

Amount that Gem had = 40 u

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

Difference between Tim's amount and 30% of Gem's amount
= 65 u - 12 u
= 53 u

53 u = 1272

1 u = 1272 ÷ 53 = 24

Amount that Tim had at first
= 65 u
= 65 x 24
= $1560

Answer(s): $1560