Linda had $1365 less than Andy. Linda spent ¹₄ of her money and Andy spent ⁵₇ of his money. In the end, Andy and Linda had the same amount of money left. Find the amount of money Andy had at first.

	Linda	Andy	Difference
Before	4x2 = 8 u	7x3 = 21 u	13 u
Change	- 1x2 = - 2 u	- 5x3 = - 15 u
After	3x2 = 6 u	2x3 = 6 u

Fraction of Linda's money left
= 1 - ¹₄
= ³₄

Fraction of Andy's money left
= 1 - ⁵₇
= ²₇

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

³₄ of Linda's money = ²₇ of Andy's money
⁶₈ of Linda's money = ⁶₂₁ of Andy's money

Amount that Linda had at first = 8 u
Amount that Andy had at first = 21 u

Amount that Linda had less than Andy had at first
= 21 u - 8 u
= 13 u

13 u = 1365

1 u = 1365 ÷ 13 = 105

Amount that Andy had at first
= 21 u
= 21 x 105
= $2205

Answer(s): $2205