Hazel, Usha and Mary bought a souvenir for their friend. They shared the cost equally between them. Hazel used ⁵₉ of her savings, Usha used ¹₆ of her savings and Mary used ³₈ of her savings. Hazel and Mary had $777 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 5, 1 and 3 = 15

5x39x3 of Hazel's savings = 1x156x15 of Usha's savings = 3x58x5 of Mary savings
1527 of Hazel's savings = 1590 of Usha's savings = 1540 of Mary's savings

	Hazel	Usha	Mary
Before	27 u	90 u	40 u
Change	- 15 u	- 15 u	- 15 u
After	12 u	75 u	25 u

Savings that Hazel had left
= 27 u - 15 u
= 12 u

Savings that Mary had left
= 40 u - 15 u
= 25 u

Total savings that Hazel and Mary had left
= 12 u + 25 u
= 37 u

37 u = 777

1 u = 777 ÷ 37 = 21

Amount that each girl paid
= 15 u
= 15 x 21
= $315

Answer(s): $315