Xandra, Fiona and Joelle bought a gift for their nephew. They shared the cost equally between them. Xandra used ³₅ of her savings, Fiona used ⁴₅ of her savings and Joelle used ²₇ of her savings. Xandra and Joelle had $532 left. How much did each girl pay for the gift?
The amount spent by each girl is the same.  Make the numerators the same.
LCM of 3, 4 and 2 = 12

3x45x4 of Xandra's savings = 4x35x3 of Fiona's savings = 2x67x6 of Joelle savings
1220 of Xandra's savings = 1215 of Fiona's savings = 1242 of Joelle's savings

	Xandra	Fiona	Joelle
Before	20 u	15 u	42 u
Change	- 12 u	- 12 u	- 12 u
After	8 u	3 u	30 u

Savings that Xandra had left
= 20 u - 12 u
= 8 u

Savings that Joelle had left
= 42 u - 12 u
= 30 u

Total savings that Xandra and Joelle had left
= 8 u + 30 u
= 38 u

38 u = 532

1 u = 532 ÷ 38 = 14

Amount that each girl paid
= 12 u
= 12 x 14
= $168

Answer(s): $168