Raeann, Tiffany and Xylia bought a gift for their niece. They shared the cost equally between them. Raeann used ⁴₉ of her savings, Tiffany used ²₇ of her savings and Xylia used ⁵₇ of her savings. Raeann and Xylia had $198 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, 2 and 5 = 20

4x59x5 of Raeann's savings = 2x107x10 of Tiffany's savings = 5x47x4 of Xylia savings
2045 of Raeann's savings = 2070 of Tiffany's savings = 2028 of Xylia's savings

	Raeann	Tiffany	Xylia
Before	45 u	70 u	28 u
Change	- 20 u	- 20 u	- 20 u
After	25 u	50 u	8 u

Savings that Raeann had left
= 45 u - 20 u
= 25 u

Savings that Xylia had left
= 28 u - 20 u
= 8 u

Total savings that Raeann and Xylia had left
= 25 u + 8 u
= 33 u

33 u = 198

1 u = 198 ÷ 33 = 6

Amount that each girl paid
= 20 u
= 20 x 6
= $120

Answer(s): $120