Pamela had $235 less than Wesley. Pamela spent ¹₃ of her money and Wesley spent ⁴₇ of his money. In the end, Wesley and Pamela had the same amount of money left. Find the amount of money Wesley had at first.

	Pamela	Wesley	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 Pamela's money left
= 1 - ¹₃
= ²₃

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

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

²₃ of Pamela's money = ³₇ of Wesley's money
⁶₉ of Pamela's money = ⁶₁₄ of Wesley's money

Amount that Pamela had at first = 9 u
Amount that Wesley had at first = 14 u

Amount that Pamela had less than Wesley had at first
= 14 u - 9 u
= 5 u

5 u = 235

1 u = 235 ÷ 5 = 47

Amount that Wesley had at first
= 14 u
= 14 x 47
= $658

Answer(s): $658