Emily had $707 less than Neave. Emily spent ¹₄ of her money and Neave spent ³₅ of his money. In the end, Neave and Emily had the same amount of money left. Find the amount of money Neave had at first.

	Emily	Neave	Difference
Before	4x2 = 8 u	5x3 = 15 u	7 u
Change	- 1x2 = - 2 u	- 3x3 = - 9 u
After	3x2 = 6 u	2x3 = 6 u

Fraction of Emily's money left
= 1 - ¹₄
= ³₄

Fraction of Neave's money left
= 1 - ³₅
= ²₅

Neave and Emily had the same amount of money in the end. Make the numerators the same. LCM of 3 and 2 is 6.

³₄ of Emily's money = ²₅ of Neave's money
⁶₈ of Emily's money = ⁶₁₅ of Neave's money

Amount that Emily had at first = 8 u
Amount that Neave had at first = 15 u

Amount that Emily had less than Neave had at first
= 15 u - 8 u
= 7 u

7 u = 707

1 u = 707 ÷ 7 = 101

Amount that Neave had at first
= 15 u
= 15 x 101
= $1515

Answer(s): $1515