Lynn, Jade and Julie bought a souvenir for their nephew. They shared the cost equally between them. Lynn used ⁴₉ of her savings, Jade used ¹₅ of her savings and Julie used ²₃ of her savings. Lynn and Julie had $42 left. How much did each girl pay for the souvenir?
The amount spent by each girl is the same.  Make the numerators the same.
LCM of 4, 1 and 2 = 4

4x19x1 of Lynn's savings = 1x45x4 of Jade's savings = 2x23x2 of Julie savings
49 of Lynn's savings = 420 of Jade's savings = 46 of Julie's savings

	Lynn	Jade	Julie
Before	9 u	20 u	6 u
Change	- 4 u	- 4 u	- 4 u
After	5 u	16 u	2 u

Savings that Lynn had left
= 9 u - 4 u
= 5 u

Savings that Julie had left
= 6 u - 4 u
= 2 u

Total savings that Lynn and Julie had left
= 5 u + 2 u
= 7 u

7 u = 42

1 u = 42 ÷ 7 = 6

Amount that each girl paid
= 4 u
= 4 x 6
= $24

Answer(s): $24