Usha had $560 less than Paul. Usha spent ¹₃ of her money and Paul spent ⁴₇ of his money. In the end, Paul and Usha had the same amount of money left. Find the amount of money Paul had at first.

	Usha	Paul	Difference
Before	3x3 = 9 u	7x2 = 14 u	5 u
Change	- 1x3 = - 3 u	- 4x2 = - 8 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of Usha's money left
= 1 - ¹₃
= ²₃

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

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

²₃ of Usha's money = ³₇ of Paul's money
⁶₉ of Usha's money = ⁶₁₄ of Paul's money

Amount that Usha had at first = 9 u
Amount that Paul had at first = 14 u

Amount that Usha had less than Paul had at first
= 14 u - 9 u
= 5 u

5 u = 560

1 u = 560 ÷ 5 = 112

Amount that Paul had at first
= 14 u
= 14 x 112
= $1568

Answer(s): $1568