Xuan, Winnie and Xylia bought a present for their best friend. They shared the cost equally between them. Xuan used ¹₇ of her savings, Winnie used ⁴₅ of her savings and Xylia used ³₈ of her savings. Xuan and Xylia had $920 left. How much did each girl pay for the present?
The amount spent by each girl is the same.  Make the numerators the same.
LCM of 1, 4 and 3 = 12

1x127x12 of Xuan's savings = 4x35x3 of Winnie's savings = 3x48x4 of Xylia savings
1284 of Xuan's savings = 1215 of Winnie's savings = 1232 of Xylia's savings

	Xuan	Winnie	Xylia
Before	84 u	15 u	32 u
Change	- 12 u	- 12 u	- 12 u
After	72 u	3 u	20 u

Savings that Xuan had left
= 84 u - 12 u
= 72 u

Savings that Xylia had left
= 32 u - 12 u
= 20 u

Total savings that Xuan and Xylia had left
= 72 u + 20 u
= 92 u

92 u = 920

1 u = 920 ÷ 92 = 10

Amount that each girl paid
= 12 u
= 12 x 10
= $120

Answer(s): $120