Kimberly had $342 less than Oscar. Kimberly spent ¹₅ of her money and Oscar spent ⁵₇ of his money. In the end, Oscar and Kimberly had the same amount of money left. Find the amount of money Oscar had at first.

	Kimberly	Oscar	Difference
Before	5x1 = 5 u	7x2 = 14 u	9 u
Change	- 1x1 = - 1 u	- 5x2 = - 10 u
After	4x1 = 4 u	2x2 = 4 u

Fraction of Kimberly's money left
= 1 - ¹₅
= ⁴₅

Fraction of Oscar's money left
= 1 - ⁵₇
= ²₇

Oscar and Kimberly had the same amount of money in the end. Make the numerators the same. LCM of 4 and 2 is 4.

⁴₅ of Kimberly's money = ²₇ of Oscar's money
⁴₅ of Kimberly's money = ⁴₁₄ of Oscar's money

Amount that Kimberly had at first = 5 u
Amount that Oscar had at first = 14 u

Amount that Kimberly had less than Oscar had at first
= 14 u - 5 u
= 9 u

9 u = 342

1 u = 342 ÷ 9 = 38

Amount that Oscar had at first
= 14 u
= 14 x 38
= $532

Answer(s): $532