70% of Vanessa's amount was $1456 more than Japheth's amount. When Vanessa spent 65% of her amount and Japheth spent 10% of his amount, they had the same amount of amount left. Find the amount that Japheth had at first.

	70% of Vanessa's amount	Vanessa's amount	Japheth's amount
Before	126 u	180 u	70 u
Change		- 117 u (- 65%)	- 7 u (- 10%)
After		63 u	63 u

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

Percentage of Japheth's amount left
= 100% - 10%
= 90%

35% = ³⁵₁₀₀ = ⁷₂₀
90% = ⁹⁰₁₀₀ = ⁹₁₀

The amounts of amount that Vanessa and Japheth had left were the same.
Make the numerators the same.

⁷₂₀ of Vanessa's amount = ⁹₁₀ of Japheth's amount
⁶³₁₈₀ of Vanessa's amount = ⁶³₇₀ of Japheth's amount

Amount that Vanessa had = 180 u

70% of the amount that Vanessa had
= 180 u x 70%
= 180 u x ⁷⁰₁₀₀
= 126 u

Difference between 70% of Vanessa's amount and Japheth's amount
= 126 u - 70 u 
= 56 u

56 u = 1456
1 u = 1456 ÷ 56 = 26

Amount that Japheth had at first
= 70 u
= 70 x 26
= $1820

Answer(s): $1820