Anna had $713 less than Oscar. Anna spent ¹₆ of her money and Oscar spent ⁵₇ of his money. In the end, Oscar and Anna had the same amount of money left. Find the amount of money Oscar had at first.

	Anna	Oscar	Difference
Before	6x2 = 12 u	7x5 = 35 u	23 u
Change	- 1x2 = - 2 u	- 5x5 = - 25 u
After	5x2 = 10 u	2x5 = 10 u

Fraction of Anna's money left
= 1 - ¹₆
= ⁵₆

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

Oscar and Anna had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.

⁵₆ of Anna's money = ²₇ of Oscar's money
¹⁰₁₂ of Anna's money = ¹⁰₃₅ of Oscar's money

Amount that Anna had at first = 12 u
Amount that Oscar had at first = 35 u

Amount that Anna had less than Oscar had at first
= 35 u - 12 u
= 23 u

23 u = 713

1 u = 713 ÷ 23 = 31

Amount that Oscar had at first
= 35 u
= 35 x 31
= $1085

Answer(s): $1085