Raeann had $1071 less than Albert. Raeann spent ¹₆ of her money and Albert spent ⁴₇ of his money. In the end, Albert and Raeann had the same amount of money left. Find the amount of money Albert had at first.

	Raeann	Albert	Difference
Before	6x3 = 18 u	7x5 = 35 u	17 u
Change	- 1x3 = - 3 u	- 4x5 = - 20 u
After	5x3 = 15 u	3x5 = 15 u

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

Fraction of Albert's money left
= 1 - ⁴₇
= ³₇

Albert and Raeann had the same amount of money in the end. Make the numerators the same. LCM of 5 and 3 is 15.

⁵₆ of Raeann's money = ³₇ of Albert's money
¹⁵₁₈ of Raeann's money = ¹⁵₃₅ of Albert's money

Amount that Raeann had at first = 18 u
Amount that Albert had at first = 35 u

Amount that Raeann had less than Albert had at first
= 35 u - 18 u
= 17 u

17 u = 1071

1 u = 1071 ÷ 17 = 63

Amount that Albert had at first
= 35 u
= 35 x 63
= $2205

Answer(s): $2205