Cindy had $1196 less than Bobby. Cindy spent ¹₆ of her money and Bobby spent ³₅ of his money. In the end, Bobby and Cindy had the same amount of money left. Find the amount of money Bobby had at first.

	Cindy	Bobby	Difference
Before	6x2 = 12 u	5x5 = 25 u	13 u
Change	- 1x2 = - 2 u	- 3x5 = - 15 u
After	5x2 = 10 u	2x5 = 10 u

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

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

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

⁵₆ of Cindy's money = ²₅ of Bobby's money
¹⁰₁₂ of Cindy's money = ¹⁰₂₅ of Bobby's money

Amount that Cindy had at first = 12 u
Amount that Bobby had at first = 25 u

Amount that Cindy had less than Bobby had at first
= 25 u - 12 u
= 13 u

13 u = 1196

1 u = 1196 ÷ 13 = 92

Amount that Bobby had at first
= 25 u
= 25 x 92
= $2300

Answer(s): $2300