Kylie had $455 less than Julian. Kylie spent ¹₄ of her money and Julian spent ³₅ of his money. In the end, Julian and Kylie had the same amount of money left. Find the amount of money Julian had at first.

	Kylie	Julian	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 Kylie's money left
= 1 - ¹₄
= ³₄

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

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

³₄ of Kylie's money = ²₅ of Julian's money
⁶₈ of Kylie's money = ⁶₁₅ of Julian's money

Amount that Kylie had at first = 8 u
Amount that Julian had at first = 15 u

Amount that Kylie had less than Julian had at first
= 15 u - 8 u
= 7 u

7 u = 455

1 u = 455 ÷ 7 = 65

Amount that Julian had at first
= 15 u
= 15 x 65
= $975

Answer(s): $975