Xuan, Jade and Nicole bought a gift for their mother. They shared the cost equally between them. Xuan used ⁴₅ of her savings, Jade used ⁵₉ of her savings and Nicole used ²₇ of her savings. Xuan and Nicole had $1320 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 4, 5 and 2 = 20

4x55x5 of Xuan's savings = 5x49x4 of Jade's savings = 2x107x10 of Nicole savings
2025 of Xuan's savings = 2036 of Jade's savings = 2070 of Nicole's savings

	Xuan	Jade	Nicole
Before	25 u	36 u	70 u
Change	- 20 u	- 20 u	- 20 u
After	5 u	16 u	50 u

Savings that Xuan had left
= 25 u - 20 u
= 5 u

Savings that Nicole had left
= 70 u - 20 u
= 50 u

Total savings that Xuan and Nicole had left
= 5 u + 50 u
= 55 u

55 u = 1320

1 u = 1320 ÷ 55 = 24

Amount that each girl paid
= 20 u
= 20 x 24
= $480

Answer(s): $480