Anna had $765 less than Wesley. Anna spent ¹₆ of her money and Wesley spent ⁴₇ of his money. In the end, Wesley and Anna had the same amount of money left. Find the amount of money Wesley had at first.

	Anna	Wesley	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 Anna's money left
= 1 - ¹₆
= ⁵₆

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

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

⁵₆ of Anna's money = ³₇ of Wesley's money
¹⁵₁₈ of Anna's money = ¹⁵₃₅ of Wesley's money

Amount that Anna had at first = 18 u
Amount that Wesley had at first = 35 u

Amount that Anna had less than Wesley had at first
= 35 u - 18 u
= 17 u

17 u = 765

1 u = 765 ÷ 17 = 45

Amount that Wesley had at first
= 35 u
= 35 x 45
= $1575

Answer(s): $1575